Question

if y=sin(m sin^-1x),then prove,(1-x^2)y2-xy1+m^2y=0 ???????

Answer 1

y1=d/dx(sin(m sin^-1x)
=cos(m sin^-1x) multiple m/root 1-x^2
=cos^2(m sin^-1x) multiple m^2/(1-x)^2
y1^2(1-x)^2=m^2cos^2(m sin ^-1x)
=m^2[1-sin^2(m sin^-1x]
m^2[1-y^2]
or(1-x)^22y1 y2-2xy1^2=-2m^2y y1
(1-x^2)y2-xy1+m^2y=0

Answer 2

thanks everyone 4 helping me!!!!!!!!