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Combining like terms $x$ and $2x$
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$3x\frac{dy}{dx}=-y-2x$
Learn how to solve problems step by step online. Solve the differential equation (x+2x)dy/dx=-y-2x. Combining like terms x and 2x. Rewrite the differential equation. We can identify that the differential equation \frac{dy}{dx}=\frac{-y-2x}{3x} is homogeneous, since it is written in the standard form \frac{dy}{dx}=\frac{M(x,y)}{N(x,y)}, where M(x,y) and N(x,y) are the partial derivatives of a two-variable function f(x,y) and both are homogeneous functions of the same degree. Use the substitution: y=ux.