Differential Equation for Constant nth Derivative

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Differential Equation for Constant nth Derivative

If:

$$\frac{d^ny}{dx^n}=k$$

then repeated integration gives:

$$y=\frac{kx^n}{n!}+C_1x^{n-1}+C_2x^{n-2}+\cdots+C_n$$

Usage

- Used to obtain the general form when the highest derivative is constant.

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