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- Exact Differential Equation
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- Integrate by partial fractions
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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
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$dy=\left(3x^2+4\right)dx$
Learn how to solve problems step by step online. Solve the differential equation dy/dx=3x^2+4. 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 y, and the right side with respect to x. Expand the integral \int\left(3x^2+4\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Solve the integral \int1dy and replace the result in the differential equation.
