if `y=(x^2-1)^m `, then the `(2m)th` differential coefficient of `y` is

Find the nth differential coefficients of y with respect to x following cases: y=(1)/(4x^(2)-1)

y=x^(m) is a solution of the differential equation

Verify that y=e^(m sin^(-1)x) is a solution of the differential equation (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-m^(2)y=0.

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 m and n are theorder the degree of the differential equation (y_(2))^(5)+(4(y_(2))^(3))/(y_(3))+y_(3)=x^(2)-1, then m=3,n=3 b.m=3,n=2cm=3,n=5d*m=3,n=1

Prove that y=e^(x)+m is a solution of the differential equation (d^(2)y)/(dx^2)-(dy)/(dx)=0 , where m is a constant.

What are the coefficients of x in the following expressions? 4x-3y,8-x+y,y^(2)x-y,2z-5xz(b) what are the coefficients of y in the following expressions? 4x-3y,8-yz,yz^(2)+5,my+m