Exact Differential Equation Solver: Step-by-Step Solutions

Exactness test, integrating factors μ(x) or μ(y), and the implicit solution F(x, y) = C. Every step of the solution is shown, as you would write it on paper, using exact fractions.

What it solves

Solve $M(x,y)dx+N(x,y)dy=0$. Enter $M$ and $N$ as polynomials in $x$ and $y$. If the equation is not exact, the solver looks for an integrating factor depending on $x$ only or on $y$ only.

How to use it

1. Enter your own numbers or functions in the boxes (an example is already filled in, or press Random example).
2. Check the equation preview, then press Solve step by step.
3. Reveal the solution one step at a time with Next step, or show everything at once.

Need the theory first? Read Section 2.1: Exact Equations and Integrating Factors, which explains the method in small steps with worked examples and exercises, then come back and test yourself with the Chapter 2 quiz.

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