Exercise
$x^3\left(y+1\right)^2\frac{dy}{dx}=0$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the differential equation x^3(y+1)^2dy/dx=0. Rewrite 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+1\right)^2dy. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.
Solve the differential equation x^3(y+1)^2dy/dx=0
Final answer to the exercise
$\frac{y^{3}}{3}+y^2+y=C_0$