Question

Solve the initial value problem 2(sin(t)dydt+cos(t)y)=cos(t)sin^3(t) for 0<t<π0<t<π and y(π/2)=13.y(π/2)=13. Put the problem in standard form....

Solve the initial value problem

2(sin(t)dydt+cos(t)y)=cos(t)sin^3(t)


for 0<t<π0<t<π and y(π/2)=13.y(π/2)=13.

Put the problem in standard form.
Then find the integrating factor, ρ(t)=

and finally find y(t)=

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