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)

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.

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

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

If m_1 and m_2 are the roots of the equation x^2-a x-a-1=0 , then the area of the triangle formed by the three straight lines y=m_1x ,y=m_2x , and y=a(a!=-1) is

If m_1,m_2 " are the roots of the equation " x^2-ax-a-1=0 , then the area of the triangle formed by the three straight line y=m_1,x,y=m_2x and y=a(ane -1) is

Let x+(1)/(x)=2, y+(1)/(y)=-2 and sin^(-1)x+cos^(-1)y=m pi , then the value of m is