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Calculus Calculator

Solve calculus problems step by step

This online calculator solves a wide range of calculus problems. It calculates limits, derivatives, integrals, series, etc.
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Permalink: Differential Equation Calculator
Enter an equation (and, optionally, the initial conditions):
For example, y''(x)+25y(x)=0, y(0)=1, y'(0)=2.
Write `y'(x)` instead of `(dy)/(dx)`, `y''(x)` instead of `(d^2y)/(dx^2)`, etc.

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Your input: solve $$$y ' \left(x \right) = x^{2}$$$, $$$y\left(0\right)=2$$$

Answer

$$$y{\left(x \right)} = \frac{x^{3}}{3} + 2$$$