Home
Class 12
MATHS
x^(3)(dy)/(dx)=y^(3)+y^(2)sqrt(y^(2)-x^(...

x^(3)(dy)/(dx)=y^(3)+y^(2)sqrt(y^(2)-x^(2)),x>0

Promotional Banner

Similar Questions

Explore conceptually related problems

The solution of the differential equation x^(3)(dy)/(dx)=y^(3)+y^(2)sqrt(y^(2)-x^(2)) is :

Solve the differential equations: x^3(dy)/(dx)=y^3+y^2sqrt(y^2-x^2),x>0

If xy=a[y+sqrt(y^(2)-x^(2))] , prove that, x^(3)(dy)/(dx)=y^(2)(y+sqrt(y^(2)-x^(2)))

The solution of the differential equation x^3(dy)/(dx)=y^3+y^2sqrt(y^2-x^2) is :

x(dy)/(dx)-y=2sqrt(y^(2)-x^(2))

(dy)/(dx)=(y^(3)-2x^(2)y)/(x^(3))

General solution of differential equation x^(2)(x+y(dy)/(dx))+(x(dy)/(dx)-y)sqrt(x^(2)+y^(2))=0 is

General solution of differential equation x^(2)(x+y(dy)/(dx))+(x(dy)/(dx)-y)sqrt(x^(2)+y^(2))=0 is

(dy)/(dx)=(2x-3y)/(3x-2y)

(dy)/(dx)=(3x+2y)/(2x-3y)