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If y=cosecx+cotx, then show that,(d^2y)/...

If y=cosecx+cotx, then show that,`(d^2y)/(dx^2)=sinx/(1-cosx)^2`.

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CHHAYA PUBLICATION-SECOND ORDER DERIVATIVE-Long answer type Question
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  13. IF y=e^(ax)sin bx, then prove that, (d^2y)/(dx^2)-2ady/dx+(a^2+b^2)...

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  15. IF y^2=ax^2+2bx+c, Prove that (d^2x)/(dy^2)=(b^2-ac)/(ax+b)^3.

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  18. IF xsqrt(1+y)+ysqrt(1+x)=0, show that, (d^2y)/(dx^2)=2/(1+x)^3.

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  20. IF y=sqrt(sin x+sqrt(sin x +sqrt(sin x +.... oo), show that (2y-1)^3...

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