If y=e^(msin-1x),show that (1-x^2)d^y/dx^2 -xdy/dx -m^y = 0
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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
 
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  • 26
sorry its (m^2)y in the end
  • -2
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