If a and b are arbitrary constants, then the differential equation having `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` as its general solution is

if a, b are arbitrary constants, find the differential equation of y=acosnx+bsinnx

If a is arbitrary constant, find the differential equation of x^2+y^2=a^2

If a an arbitrary constant, then solution of the differential equation (dy)/(dx)+sqrt((1-y^(2))/(1-x^(2)))=0 is

The general solution of the differential equation (dy)/(dx)=(x^(2))/(y^(2)) is

Verify that the function y=C_(1)e^(x)cos bx+C_(2)e^(ax)sin bx,C_(1),C_(2) are arbitrary constants is a solution of the differential equation: (d^(2)y)/(dx)-2a(dy)/(dx)+(a^(2)+b^(2))y=0

Form the differential equation having y=(sin^(-1)x)^(2)+A cos^(-1)x+B where A and B are arbitrary constants,as its general solution

If a and b are arbitrary constants, then the order and degree of the differential equation of the family of curves ax^(2)+by^(2)=2 respectively are

Form the differential equation for the given solution: b^(2) x^(2) + a^(2) y^(2) =a^(2)b^(2)

The general solution of the differential equation (x^2+xy)y'=y^2 is

The solution of the differential equation x(dy)/(dx)=y ln ((y^(2))/(x^(2))) is (where, c is an arbitrary constant)