" co "yy=e^(mos(1)/(12)dx^(2));ptan(1-x^(2))(13)/(dx^(2))-xdy-m^(2)y=0

If y=e^(m"sin"^(-1)x) , prove that (1-x^(2))(d^(2)y)/(dx^(2))-xdy/(dx)=m^(2)y

If y=e^(msin^(-1)x) prove that (1-x^2)((d^2y)/dx^2)-x(dy)/dx=m^2y

If y=e^("mcos"^(-1)x) , prove that: (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=m^(2)y

If y=cos(mcos^(-1)x) , then prove that : (1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx+m^(2)y=0 .

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

Verify that y=e^(m cos^(-1)x) satisfies the differential equation (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-m^(2)y=0

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

If y=e^(a cos^(-1)x),-2lexle1 , show that (1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx-a^(2)y=0

If y=e^(mtan^(-1)x) , prove that : (1+x^(2))(d^(2)y)/(dx^(2))+(2x-m)dy/dx=0 .

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 .