Reproduce the given computer-generated direction fie­ld. Then sketch, by hand, an approximate solution curve that passes through each of the indicated points. Use different colored pencils for each solution curve.

1. dy/dx = x² €“y²

(a) y(-2) = 1

(b) y(3) = 0

(c) y(0) = 2

(d) y(0) = 0

 

2. dy/dx = e^-0.01xy2

(a) y(-6) = 0

(b) y(0) = 1

(c) y(0) = -4

(d) y(8) = -4

3. dy/dx = 1 €“ xy

(a) y(0) = 0

(b) y(-1) = 0

(c) y(2) = 2

(d) y(0) = -4

4. dy/dx = (sinx)cosy

(a) y(0) = 1

(b) y(1) = 0

(c) y(3) = 3

(d) y(d) = -5/2

Transcribed Image Text:

y 3 -1 -2-t t -3 -3 -2 -1 -8 4.