Solving: $xy^2dx+\left(x^2y^2+x^2y\right)dy=0$
Exercise
$\left(xy^2\right)dx+\left(x^2y^2+x^2y\right)dy$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the differential equation xy^2dx+(x^2y^2+x^2y)dy=0. Factoring by x^2. Grouping the terms of the differential equation. 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 \left(y^2+y\right)\frac{1}{y^2}dy.
Solve the differential equation xy^2dx+(x^2y^2+x^2y)dy=0
Final answer to the exercise
$y+\ln\left|y\right|=-\ln\left|x\right|+C_0$