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RD SHARMA-HIGHER ORDER DERIVATIVES-Solved Examples And Exercises
- If y=log(sinx),"p r o v et h a t"(d^3y)/(dx^3)=2cosxcos e c^3xdot
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- If y=x^3logx ,"p r o v et h a t"(d^4y)/(dx^4)=6/xdot
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- If y=(logx)/x ,s howt h a t(d^2y)/(dx^2)=(2logx-3)/(x^3)
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- If y=2 sin x+3cos x, show that (d^2y)/(dx^2)+y=0
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- Find . (d^2y)/(dx^2),ifx=a t^2,y=2a tdot
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- If x=sin theta,y=cosptheta,p rov et h a t (1-x^2)y2-x y1+p^2y=0,w ...
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- If y=tan^-1x find (d^2y)/(dx^2) in terms of y alone.
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- If x^m y^n=(x+y)^(m+n), prove that (d^2y)/(dx^2)=0
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- If y^3-y=2x ,p rov et h a t(d^2y)/(dx^2)=(-24 y)/((3y^2-1)^3)
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- If y=x^x ,fin d(d^2y)/(dx^2)
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- If y=sin^(-1)x ,s howt h a t(d^2y)/(dx^2)=x/((1-x^2)^(3/2))
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- If y=Acosn x+Bsinn x ,s howt h a t (d^2y)/(dx^2)+n^2y=0
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- If y=tanx+secx ,p rov et h a t(d^2y)/(dx^2)=(cosx)/((1-sinx)^2)
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- If y=(a x+b)/(x^2+c), then (2x y1+y) y3=
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- If y=(log)e(x/a)^x ,then x^3y2=
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- If sin^(-1) (1 – x) – 2sin^(-1) x = π / 2,then x is equal to
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- If y=2/(sqrt(a^2-b^2)){tan^(-1)((a-b)/(a+b))tanx/2} , then show that (...
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- If y=x^(n-1)lnx then x^2y2+(3-2n)x y1 is equal to -(n-1)^2y (b) (n...
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- If x y-(log)e y=1 satisfies the equation x(y y2+y1 2)-y2+lambday y1=0,...
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- If x=f(t )cost-f^(prime)(t)sinta n dy=f(t)sint+f^(prime)(t)cost ,t h ...
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