Solve Diff. Equation y"-y=1/(sin) with Expert Help - Get Started Now!

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I can't solve this equation y"-y=1/(sin) , pls help me.
Thank you in advanced:)
 
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Sounds like homework problem. You'll have to show some work first. But for starters try asking yourself what kind of DE it is, and what method should be applied.

(btw, I've requested that this be moved to the homework section)
 
Thread moved. Thanks for the heads-up, ranger.
 
sunshine17 said:
I can't solve this equation y"-y=1/(sin) , pls help me.
Thank you in advanced:)
Can we assume that "1/(sin)" should be "1/(sin x)"? If so that is a linear differential equation. There is a standard formula for the integrating factor. Use it!
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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