Question

 

Consider the slope field shown. 

(a) For the solution that satisfies y(0) = 0, sketch the solution curve and estimate the following: 

y(1) ≈ _______ and y(-1) ≈ _______ 

(b) For the solution that satisfies y(0) = 1, sketch the solution curve and estimate the following:

y(0.5) ≈ _______ and y(-1) ≈ _______ 

(c) For the solution that satisfies y(0) = -1, sketch the solution curve and estimate the following:

y(1) ≈ _______ and y(-1) ≈ _______ 

 

Answer 1

ANSWER:

a) Solution curve with y(0)- 0 is given below In this case, we havel)0.5, y-1)0.5

b) Solution curve through yf0)- isgven below ะ 1.5, y(-1)~0.75 Based on this, we can say that y(0.5)

c Solution curve passing through y(0) s gven below: Based on this curve, we can say that y(1)~-2, y(-1)~0