Q. 20

# In each of the following differential equation show that it is homogeneous and solve it.

x^{2} + y^{2} = xy

Answer :

⇒ the given differential equation is a homogenous equation.

The solution of the given differential equation is :

Put y = vx

Integrating both the sides we get:

Resubstituting the value of y = vx we get

Ans:

Rate this question :

Solve the differential equation :

(tan^{-1}y – x)dy = (1 + y^{2})dx.

**OR**

Find the particular solution of the differential equation given that y = 1, when x = 0.

Mathematics - Board PapersSolve the following differential equation:

Mathematics - Board Papers

Find the particular solution of the differential equation given that when

Mathematics - Board PapersShow that the differential equation (x e^{y/x} + y)dx = xdy is homogeneous. Find the particular solution of this differential equation, given that x = 1 when y = 1.

Solve the differential equation:

given that when

Mathematics - Board PapersFind the particular solution of the following differential equation. given that when x = 2, y = π

Mathematics - Board Papers