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