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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CAT Formulas
Differential Equations
Differential Equation for Constant nth Derivative
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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