Exercise · ZW-DIFFERENTIAL-EQUATION-005 · ★★☆ Intermediate

Differentiating \(y=x^2+C\) and eliminating \(C\) gives:

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Explanation

The derivative of \(x^2+C\) is \(2x\); the constant vanishes upon differentiating.

A differential equation is an equation \(F=0\) whose unknown is a function \(y\) and which relates it to one or more of its derivatives.

\[F\left(x,\,y,\,y',\,\dots,\,y^{(n)}\right)=0\]