- #1

tascja

- 87

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dy/dx + P(x)y = Q(x)

So my question is can you have a Q(x) that has both x and y variables?

Example:

## Homework Statement

xy' +y = y^2

## The Attempt at a Solution

dy/dx + (1/x)y = (1/x)y^2

The integrating factor V(x) = e ^[int. P(x)]

= e ^[int. 1/x dx]

= x

Therefore y = [1/V(x)][int. Q(x)V(x)dx + C]

= [1/x] [int. ? + C]