[" 10.Verify that "y=ce^(tan^(-1)x)" is a solution of the differential equation "],[qquad (1+x^(2))(d^(2)y)/(dx^(2))+(2x-1)(dy)/(dx)=0]

Similar Questions

Explore conceptually related problems

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=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=c e^(t a n-1_x) is a solution of differential equation (1+x^2)(d^2y)/(dx^2)+(2x-1)(dy)/(dx)=0.

Verify that y=(c-x)/(1+cx) is a solution of the differential equation (1+x^(2))(dy)/(dx)+(1+y^(2))=0.

Verify that y=a/x+b is a solution of the differential equation (d^(2)y)/(dx^(2))+2/x((dy)/(dx))=0.

Show that y=be^(x)+ce^(2x) is a solution of the differential equation (d^(2)y)/(dx^(2))-3(dy)/(dx)+2y=0

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