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maths prob help!!!

Hi I'm having real probs with a maths question for my assignment. The question is...

For the linear ODE:

dy/dx sin x - y cos x = 2x sin^2 x (supposed to be 2x sin squared)

find an intergrating factor µ(x), and use this to find the gereral solution

I've re-arranged it into standard form dy/dx + p(x)y = q(x)

giving dy/dx + (y cos x)/ sin x = 2x sin x.

Am i correct in thinking that cos x / sin x = 1 / tan ?
If so what it its integral, so I can find µ(x)????

since µ(x) = e^ſp(x) ( supposed to be e to the power of integral of p(x)

What is the integral of 2x sinx?

Finally giving the condition y(pie/2) = 0 what is the solution??

Reply 1

RichE

The integral of

cosx/sinx = 1/tanx = cotx

is

ln(sinx)

as the derivative of the denominator is the numerator.

Is this though the integral you're looking for? - don't you want exp of the integral -ln(sinx)?