Exercise
$\frac{dy}{dx}=\frac{\left(xy+y\right)}{\left(2x-3xy\right)}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the differential equation dy/dx=(xy+y)/(2x-3xy). Factoring by x. Factoring by y. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{1}{y}\left(2-3y\right)dy.
Solve the differential equation dy/dx=(xy+y)/(2x-3xy)
Final answer to the exercise
$2\ln\left|y\right|-3y=\ln\left|x\right|+x+C_0$