Final Answer
Step-by-step Solution
Specify the solving method
Rewrite the differential equation using Leibniz notation
Learn how to solve differential equations problems step by step online.
$x\frac{dy}{dx}=2y+3x$
Learn how to solve differential equations problems step by step online. Solve the differential equation xy^'=2y+3x. Rewrite the differential equation using Leibniz notation. Rewrite the differential equation. We can identify that the differential equation \frac{dy}{dx}=\frac{2y+3x}{x} 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.