Differential Equation of a Straight-Line Family

Rarely Tested

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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