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(Solved): Solve the initial value problem 3(sin(t)dtdy+(cost)y)=(cos(t))(sin(t))5 fo ...



Solve the initial value problem
\[
3\left(\sin (t) \frac{d y}{d t}+(\cos t) y\right)=(\cos (t))(\sin (t))^{5}
\]
for \( 0<t<\???????

Solve the initial value problem for and


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