Question

The solution attains a maximum at x = ?

Answer 1

for \[0 \le x \le 0.848\]

Answer 2

I solved the initial value problem for y' = 4cos(4x)/ 3+2y y(0) = -1

Answer 3

the solution was \[y = \sqrt{\sin(4x) +1/4} -3/2\]

Answer 4

I verified this right was on my homework. I'm just not sure how to find where the solution attains a maximum. Thanks!