Differential Equation of a Straight-Line Family
For:
$$y=mx+c$$
differentiate:
$$\frac{dy}{dx}=m$$
and:
$$\frac{d^2y}{dx^2}=0$$
Usage
- If both $$m$$ and $$c$$ are arbitrary, eliminate both to obtain the second-order equation.
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CAT Formulas
Differential Equations
Differential Equation of a Straight-Line Family
Differential Equation of a Straight-Line Family
For:
$$y=mx+c$$
differentiate:
$$\frac{dy}{dx}=m$$
and:
$$\frac{d^2y}{dx^2}=0$$
Usage
- If both $$m$$ and $$c$$ are arbitrary, eliminate both to obtain the second-order equation.
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