If y=e^(msin-1x),show that (1-x^2)d^y/dx^2 -xdy/dx -m^y = 0
Thumbs up will be given

Share with your friends

Share 3

Question

If y=e^(msin-1x),show that (1-x^2)d^y/dx^2 -xdy/dx -m^y = 0
Thumbs up will be given

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

y=em sin-1xDifferentiating wrt x dydx=em sin-1x d m sin-1xdxdydx=em sin-1x m1-x2dydx=y m1-x2Squaring on both sides , we getdydx2=m2y21-x21-x2 dydx2=m2y2Differentiating again wrt x both sides , we get-2x dydx2+1-x2 2 dydxd2ydx2=2m2y dydx1-x2 d2ydx2-x dydx=m2y1-x2 d2ydx2-x dydx-m2y=0
Hope this information will clear your doubts about the topic
If you have any more doubts just ask here on the forum and our
experts will try to help you out as soon as possible

Regards

If y=e^(msin-1x),show that (1-x^2)d^y/dx^2 -xdy/dx -m^y = 0 Thumbs up will be given

If y=e^(msin-1x),show that (1-x^2)d^y/dx^2 -xdy/dx -m^y = 0
Thumbs up will be given