Exercise
$\frac{dy}{dx}=\frac{9+x^4}{yx^2+y^4X^2}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the differential equation dy/dx=(9+x^4)/(yx^2+y^4x^2). Factoring by x^2. 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^4+y\right)dy. Simplify the expression \left(9+x^4\right)\frac{1}{x^2}dx.
Solve the differential equation dy/dx=(9+x^4)/(yx^2+y^4x^2)
Final answer to the exercise
$\frac{y^{5}}{5}+\frac{1}{2}y^2=\frac{-9}{x}+\frac{x^{3}}{3}+C_0$