Home
Class 12
MATHS
21.3" .If Verify that "y=e^(mcos^(-1)x)"...

21.3" .If Verify that "y=e^(mcos^(-1)x)" satisfies the differential equation "(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-m^(2)y

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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 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=log(x+sqrt(x^(2)+a^(2))) satisfies the differential equation d^(2)(y)/(dx^(2))+x(dy)/(dx)=0

Verify that y=log(x+sqrt(x^2+a^2))^2 satisfies the differential equation (a^2+x^2)(d^2y)/(dx^2)+x(dy)/(dx)=0.

Verify that y=ce^(tan-1_(z)) is a solution of differential equation (1+x^(2))(d^(2)y)/(dx^(2))+(2x-1)(dy)/(dx)=0

Verify that y=log(x+sqrt(x^(2)+a^(2)))^(2) satisfies the differential equation (a^(2)+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)=0

Verify that the function y=e^(-3x) is solution of the differential equation (d^(2)y)/(dx^(2))+(dy)/(dx)-6y=0

Verify that the function y=e^(-3x) is a solution of the differential equation (d^(2)y)/(dx^(2))+(dy)/(dx)-6y=0