Final answer to the problem
$y^{3}+y=x+\frac{1}{-x}+C_0$
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Step-by-step Solution
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1
Simplify the expression ${0}$
$3y^2+1=\frac{x^2+1}{x^2}$
Learn how to solve integral calculus problems step by step online.
$3y^2+1=\frac{x^2+1}{x^2}$
Learn how to solve integral calculus problems step by step online. Solve the differential equation dyx^2=((x^2+1)dx)/(3y^2+1). Simplify the expression {0}. 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. Integrate both sides of the differential equation, the left side with respect to . Expand the integral \int\left(3y^2+1\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately.
Final answer to the problem
$y^{3}+y=x+\frac{1}{-x}+C_0$