Differential Equation of Power Curves
For:
$$y=Cx^n$$
taking logarithmic differentiation gives:
$$\frac{1}{y}\frac{dy}{dx}=\frac{n}{x}$$
Usage
- Useful for forming differential equations from power-law families.
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CAT Formulas
Differential Equations
Differential Equation of Power Curves
Differential Equation of Power Curves
For:
$$y=Cx^n$$
taking logarithmic differentiation gives:
$$\frac{1}{y}\frac{dy}{dx}=\frac{n}{x}$$
Usage
- Useful for forming differential equations from power-law families.
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