Exercise
$\left(2x+3x^3\right)\left(1+y^2\right)dx-2xydy=0$
Step-by-step Solution
Learn how to solve trigonometric integrals problems step by step online. Solve the differential equation (2x+3x^3)(1+y^2)dx-2xydy=0. Grouping the terms of the differential equation. Divide both sides of the equation by -1. 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}{x}\left(2x+3x^3\right)dx.
Solve the differential equation (2x+3x^3)(1+y^2)dx-2xydy=0
Final answer to the exercise
$\ln\left|1+y^2\right|=2x+x^{3}+C_0$