If `y=e^(acos^-1x)` , then show that
`(1-x^2)y_2-xy_1-a^2y=0`

If y=sin^-1x , prove that (1-x^2)y_2-xy_1=0

If y=sin^-1x ,then show that (1-x^2)(d^2y)/dx^2-xdy/dx=0

If y=(sin^-1x)^2 , then show that (1-x^2)(d^2y)/(dx^2)-xdy/dx=2

If x=sint and y=sinmt show that (1-x^2)y_2-xy_1+m^2y=0

If y=(tan^(-1)x)^2 , show that (x^2+1)^2y_2+2x(x^2+1)y_1=2 .

If y = e ^(a cos ^(-1)x) , - 1 le x le 1 , show that (1 - x^(2)) ( d^(2) y)/( dx^(2)) - x ( dy)/( dx) - a^(2) y = 0

If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y_2-3xy_1-y=0

If y=log(1/x) , show that dy/dx+e^y=0

If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y_1-xy=1

Given that logy=tan^-1x . Show that (1+x^2)y_2+(2x-1)y_1=0