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

The differential of y if y=sin 2x is

The differential of y if y=sin 2x is ………… .

If y = y(x) is the solution of the differential equation, x dy/dx+2y=x^2 satisfying y(1) = 1, then y(1/2) is equal to

Find value of m so that the function y=e^(mx) is a solution of the given differential equation. y'+2y=0

Show that y = (cos^(-1) x)^(2) is a solution of the differential equation . (1-x^(2))y '' - xy' - 2 = 0

Show that y = sin ( m sin^(-1)x) is a solution of the differential equation (1 - x^(2)) y '' + xy' + m^(2) y = 0

Show that y=mx+(7)/(m) ,m ne 0 is a solution of the differential equation xy' +7(1)/(y')-y=0

Number of values of m in N for which y=e^(m x) is a solution of the differential equation (d^3y)/(dx^3)-3(d^2y)/(dx^2)-4(dy)/(dx)+12 y=0 (a) 0 (b) 1 (c) 2 (d) More than 2

The differential of y if y =sqrt(x^(4) + x^(2)-1)