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## Homework Statement

Verify that the differential equation,

[itex]

{\frac{dy}{dx}} = 15 - {\frac{2y}{81+3x}}

[/itex]

has the general solution

[itex]

y(x) = 3(81+3x) + C(81+3x)^{-2/3}

[/itex]

**2. The attempt at a solution**

I've just learnt about differential equations, so I'm probably missing something very basic. I've tried serperating x and y so that I can integrate and it's not an exact equation.

Thanks in advance for the help.