Undetermined Coefficients Calculator: Step-by-Step Solutions

Trial form with the modification rule, coefficient matching and the general solution. Every step of the solution is shown, as you would write it on paper, using exact fractions.

What it solves

Solve $a_n{y}^{(n)}+\cdots +a_{0}y=F(x)$ where $F$ is built from polynomials, $e^{ax}$, $\sin bx$, $\cos bx$ and their products. Type for example x^2 e^(2x) + 3sin(2x).

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 4.3: The Method of Undetermined Coefficients, which explains the method in small steps with worked examples and exercises, then come back and test yourself with the Chapter 4 quiz.

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