- #1
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Homework Statement
Find the general solution:
$$\frac{dy}{dx}=(x+y+3)^{2}$$
Homework Equations
The Attempt at a Solution
Methods I have learned: separation of variables, integrating factor for linear equations, exact equations, and substitution. I don't even know where to begin on this one. It has a ##y^{2}## term so it isn't linear; it isn't an exact equation; so there must be a substution. But it doesn't look anything like the substitution problems I've done. I expanded it, but that just seems to make it really long. Any hints or help would be greatly appreciated!