#### Question

Find the particular solution of the differential equation `(x - y) dy/dx = (x + 2y)` given that y = 0 when x = 1.

#### Solution 1

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

Putting y = Vx

#### Solution 2

The given differential equation is

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

`=> dy/dx = (x + 2y)/(x - y)`

This is a homogeneous differential equation.

Putting y=vx and `dy/dx = v + x dy/dx`, we get

Is there an error in this question or solution?

Solution Find the Particular Solution of the Differential Equation `(X - Y) Dy/Dx = (X + 2y)` Given that Y = 0 When X = 1. Concept: Methods of Solving First Order, First Degree Differential Equations - Homogeneous Differential Equations.