Home
Class 12
MATHS
Solution of the differential equation (...

Solution of the differential equation `(y+x sqrt(xy)(x+y))dx+(y sqrt(xy)(x+y)-x)dy=0` is
(A) `(x^(2)+y^(2))/(2)+tan^(-1)sqrt((y)/(x))=lambda`
(B) `(x^(2)+y^(2))/(2)+2tan^(-1)(sqrt((x)/(y)))=lambda`
(C) `(x^(2)+y^(2))/(2)+2cot^(-1)sqrt((y)/(x))=lambda`
(D) `(x^(2)+y^(2))/(2)+cot^(-1)sqrt((x)/(y))=lambda`

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 :

Let a solution y=y(x) of the differential equation x sqrt(x^(2)-1)dy-y sqrt(y^(2)-1)dx=0 satisfy y(2)=(2)/(sqrt(3))

Solve the following differential equation: x sqrt(1-y^(2))dx+y sqrt(1-x)dy=0

The general solution of the differential equation sqrt(1-x^(2)y^(2)) dx = y dx + x dy is

The solution of x sqrt(1+y^(2))dx+y sqrt(1+x^(2))dy=0

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

The solution of the differential equation 2x^(2)y(dy)/(dx) = tan(x^(2)y^(2))-2xy^(2) , given y(1) = sqrt(pi/2) , is

Solve the following differential equation: sqrt(1+x^(2)+y^(2)+x^(2)y^(2))+xy(dy)/(dx)=0

The solution of the differential equation sqrt(a+x)(dy)/(dy)+xy=0 is (A)y=Ae^((2)/(3)(2a-x)sqrt(a+x))(B)y=Ae^(-(2)/(3)(2a-x)sqrt(a+x))(C)y=Ae^((2)/(3)(2a+x)sqrt(x-a))(C)

If y(x) is a solution of differential equation sqrt(1-x^2) dy/dx + sqrt(1-y^2) = 0 such that y(1/2) = sqrt3/2 , then