## F2: Separation of variables (ver. 1)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( -2 ) = -32$

$y= 4 t^{ 3 }$

## F2: Separation of variables (ver. 2)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -1 ) = -2$

$y= 2 t^{ -3 }$

## F2: Separation of variables (ver. 3)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -4 ) = 64$

$y= 4 t^{ 2 }$

## F2: Separation of variables (ver. 4)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( 1 ) = -4$

$y= -4 t^{ -3 }$

## F2: Separation of variables (ver. 5)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -1 ) = -3$

$y= -3 t^{ 2 }$

## F2: Separation of variables (ver. 6)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( -2 ) = 24$

$y= -3 t^{ 3 }$

## F2: Separation of variables (ver. 7)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( 3 ) = 108$

$y= 4 t^{ 3 }$

## F2: Separation of variables (ver. 8)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( -3 ) = -108$

$y= 4 t^{ 3 }$

## F2: Separation of variables (ver. 9)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -3 ) = \frac{1}{27}$

$y= -1 t^{ -3 }$

## F2: Separation of variables (ver. 10)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -2 ) = \frac{1}{2}$

$y= -4 t^{ -3 }$

## F2: Separation of variables (ver. 11)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -1 ) = -2$

$y= -2 t^{ -2 }$

## F2: Separation of variables (ver. 12)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 2 ) = 8$

$y= 2 t^{ 2 }$

## F2: Separation of variables (ver. 13)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 1 ) = -1$

$y= -1 t^{ 2 }$

## F2: Separation of variables (ver. 14)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -4 ) = \frac{1}{8}$

$y= 2 t^{ -2 }$

## F2: Separation of variables (ver. 15)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( 1 ) = -3$

$y= -3 t^{ 3 }$

## F2: Separation of variables (ver. 16)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 1 ) = 1$

$y= 1 t^{ 2 }$

## F2: Separation of variables (ver. 17)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( 2 ) = \frac{1}{2}$

$y= 2 t^{ -2 }$

## F2: Separation of variables (ver. 18)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -3 ) = \frac{4}{27}$

$y= -4 t^{ -3 }$

## F2: Separation of variables (ver. 19)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 4 ) = -32$

$y= -2 t^{ 2 }$

## F2: Separation of variables (ver. 20)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 3 ) = -36$

$y= -4 t^{ 2 }$

## F2: Separation of variables (ver. 21)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( 1 ) = -4$

$y= -4 t^{ -2 }$

## F2: Separation of variables (ver. 22)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -1 ) = 4$

$y= 4 t^{ -2 }$

## F2: Separation of variables (ver. 23)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -1 ) = -4$

$y= -4 t^{ -2 }$

## F2: Separation of variables (ver. 24)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 2 ) = -16$

$y= -4 t^{ 2 }$

## F2: Separation of variables (ver. 25)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 4 ) = 32$

$y= 2 t^{ 2 }$

## F2: Separation of variables (ver. 26)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( 1 ) = 3$

$y= 3 t^{ 3 }$

## F2: Separation of variables (ver. 27)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -4 ) = 16$

$y= 1 t^{ 2 }$

## F2: Separation of variables (ver. 28)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -4 ) = 16$

$y= 1 t^{ 2 }$

## F2: Separation of variables (ver. 29)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( -2 ) = -24$

$y= 3 t^{ 3 }$

## F2: Separation of variables (ver. 30)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 1 ) = -3$

$y= -3 t^{ 2 }$

## F2: Separation of variables (ver. 31)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -3 ) = -36$

$y= -4 t^{ 2 }$

## F2: Separation of variables (ver. 32)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( 4 ) = 128$

$y= 2 t^{ 3 }$

## F2: Separation of variables (ver. 33)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( 4 ) = \frac{1}{16}$

$y= 1 t^{ -2 }$

## F2: Separation of variables (ver. 34)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( -2 ) = -32$

$y= 4 t^{ 3 }$

## F2: Separation of variables (ver. 35)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 3 ) = 27$

$y= 3 t^{ 2 }$

## F2: Separation of variables (ver. 36)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -3 ) = \frac{2}{27}$

$y= -2 t^{ -3 }$

## F2: Separation of variables (ver. 37)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( -4 ) = -128$

$y= 2 t^{ 3 }$

## F2: Separation of variables (ver. 38)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( 1 ) = 1$

$y= 1 t^{ -2 }$

## F2: Separation of variables (ver. 39)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -3 ) = \frac{1}{27}$

$y= -1 t^{ -3 }$

## F2: Separation of variables (ver. 40)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -1 ) = 3$

$y= 3 t^{ -2 }$

## F2: Separation of variables (ver. 41)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -4 ) = 32$

$y= 2 t^{ 2 }$

## F2: Separation of variables (ver. 42)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 4 ) = -32$

$y= -2 t^{ 2 }$

## F2: Separation of variables (ver. 43)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 2 ) = 12$

$y= 3 t^{ 2 }$

## F2: Separation of variables (ver. 44)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -1 ) = -3$

$y= -3 t^{ -2 }$

## F2: Separation of variables (ver. 45)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( 1 ) = -1$

$y= -1 t^{ 3 }$

## F2: Separation of variables (ver. 46)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -2 ) = -16$

$y= -4 t^{ 2 }$

## F2: Separation of variables (ver. 47)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -1 ) = 1$

$y= -1 t^{ -3 }$

## F2: Separation of variables (ver. 48)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 3 ) = 27$

$y= 3 t^{ 2 }$

## F2: Separation of variables (ver. 49)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -1 ) = 1$

$y= 1 t^{ -2 }$

## F2: Separation of variables (ver. 50)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( 4 ) = -\frac{1}{32}$

$y= -2 t^{ -3 }$

## F2: Separation of variables (ver. 51)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( 3 ) = \frac{4}{9}$

$y= 4 t^{ -2 }$

## F2: Separation of variables (ver. 52)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 3 ) = 27$

$y= 3 t^{ 2 }$

## F2: Separation of variables (ver. 53)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( -4 ) = 192$

$y= -3 t^{ 3 }$

## F2: Separation of variables (ver. 54)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( 3 ) = -108$

$y= -4 t^{ 3 }$

## F2: Separation of variables (ver. 55)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( -1 ) = 3$

$y= -3 t^{ 3 }$

## F2: Separation of variables (ver. 56)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( 3 ) = \frac{2}{27}$

$y= 2 t^{ -3 }$

## F2: Separation of variables (ver. 57)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( 4 ) = \frac{3}{64}$

$y= 3 t^{ -3 }$

## F2: Separation of variables (ver. 58)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -2 ) = \frac{1}{4}$

$y= -2 t^{ -3 }$

## F2: Separation of variables (ver. 59)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -4 ) = -\frac{1}{4}$

$y= -4 t^{ -2 }$

## F2: Separation of variables (ver. 60)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -1 ) = 3$

$y= 3 t^{ -2 }$

## F2: Separation of variables (ver. 61)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 2 ) = 12$

$y= 3 t^{ 2 }$

## F2: Separation of variables (ver. 62)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( 2 ) = -\frac{1}{2}$

$y= -2 t^{ -2 }$

## F2: Separation of variables (ver. 63)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( 2 ) = -\frac{1}{4}$

$y= -2 t^{ -3 }$

## F2: Separation of variables (ver. 64)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( 1 ) = 2$

$y= 2 t^{ 3 }$

## F2: Separation of variables (ver. 65)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -3 ) = -\frac{4}{27}$

$y= 4 t^{ -3 }$

## F2: Separation of variables (ver. 66)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -4 ) = -\frac{1}{16}$

$y= -1 t^{ -2 }$

## F2: Separation of variables (ver. 67)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( -4 ) = 256$

$y= -4 t^{ 3 }$

## F2: Separation of variables (ver. 68)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 4 ) = 16$

$y= 1 t^{ 2 }$

## F2: Separation of variables (ver. 69)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -2 ) = -12$

$y= -3 t^{ 2 }$

## F2: Separation of variables (ver. 70)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( 1 ) = 1$

$y= 1 t^{ -3 }$

## F2: Separation of variables (ver. 71)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -4 ) = \frac{1}{32}$

$y= -2 t^{ -3 }$

## F2: Separation of variables (ver. 72)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( -3 ) = 54$

$y= -2 t^{ 3 }$

## F2: Separation of variables (ver. 73)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( 2 ) = 16$

$y= 2 t^{ 3 }$

## F2: Separation of variables (ver. 74)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -3 ) = -36$

$y= -4 t^{ 2 }$

## F2: Separation of variables (ver. 75)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -4 ) = \frac{1}{4}$

$y= 4 t^{ -2 }$

## F2: Separation of variables (ver. 76)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( 4 ) = 128$

$y= 2 t^{ 3 }$

## F2: Separation of variables (ver. 77)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( 4 ) = -192$

$y= -3 t^{ 3 }$

## F2: Separation of variables (ver. 78)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -3 ) = -9$

$y= -1 t^{ 2 }$

## F2: Separation of variables (ver. 79)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -2 ) = -\frac{3}{4}$

$y= -3 t^{ -2 }$

## F2: Separation of variables (ver. 80)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( -1 ) = -2$

$y= 2 t^{ 3 }$

## F2: Separation of variables (ver. 81)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -3 ) = \frac{1}{27}$

$y= -1 t^{ -3 }$

## F2: Separation of variables (ver. 82)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -1 ) = -3$

$y= 3 t^{ -3 }$

## F2: Separation of variables (ver. 83)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -2 ) = -\frac{1}{4}$

$y= -1 t^{ -2 }$

## F2: Separation of variables (ver. 84)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -3 ) = -\frac{1}{27}$

$y= 1 t^{ -3 }$

## F2: Separation of variables (ver. 85)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -3 ) = \frac{1}{3}$

$y= 3 t^{ -2 }$

## F2: Separation of variables (ver. 86)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( 2 ) = 1$

$y= 4 t^{ -2 }$

## F2: Separation of variables (ver. 87)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 4 ) = -64$

$y= -4 t^{ 2 }$

## F2: Separation of variables (ver. 88)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( 2 ) = \frac{3}{8}$

$y= 3 t^{ -3 }$

## F2: Separation of variables (ver. 89)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( 3 ) = \frac{1}{27}$

$y= 1 t^{ -3 }$

## F2: Separation of variables (ver. 90)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( 1 ) = -2$

$y= -2 t^{ 2 }$

## F2: Separation of variables (ver. 91)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( -3 ) = -\frac{4}{27}$

$y= 4 t^{ -3 }$

## F2: Separation of variables (ver. 92)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -1 ) = 4$

$y= 4 t^{ 2 }$

## F2: Separation of variables (ver. 93)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -3 ) = 9$

$y= 1 t^{ 2 }$

## F2: Separation of variables (ver. 94)

Find the solution to the given IVP.

$ty'= -3 y \hspace{1em} y( 3 ) = \frac{1}{27}$

$y= 1 t^{ -3 }$

## F2: Separation of variables (ver. 95)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -4 ) = -48$

$y= -3 t^{ 2 }$

## F2: Separation of variables (ver. 96)

Find the solution to the given IVP.

$ty'= 3 y \hspace{1em} y( 2 ) = 8$

$y= 1 t^{ 3 }$

## F2: Separation of variables (ver. 97)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( 4 ) = \frac{3}{16}$

$y= 3 t^{ -2 }$

## F2: Separation of variables (ver. 98)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( -2 ) = -\frac{3}{4}$

$y= -3 t^{ -2 }$

## F2: Separation of variables (ver. 99)

Find the solution to the given IVP.

$ty'= -2 y \hspace{1em} y( 2 ) = -1$

$y= -4 t^{ -2 }$

## F2: Separation of variables (ver. 100)

Find the solution to the given IVP.

$ty'= 2 y \hspace{1em} y( -1 ) = -1$

$y= -1 t^{ 2 }$