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Solve the initial value problem y′=[10cos(10x)]/[3+2y], y(0)=−1 and determine where the solution attains its maximum value...

Solve the initial value problem y′=[10cos(10x)]/[3+2y], y(0)=−1 and determine where the solution attains its maximum value (for 0≤x≤0.339). Enclose arguments of functions in parentheses. For example, sin(2x).

y(x)=

The solution attains a maximum at the following value of x. Enter the exact answer.

x=

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