For example, given a non-linear equation \(y=x^2+1\), its linear form is \(Y=mX+c\), where \(Y=y\) and \(X=x^2\).
Convert the non-linear equation to linear form \(Y=mX+c\).
\(y=2px^2+qx\)
where \(p\) and \(q\) are constants.
Given the equation
\(y=2px^2+qx\).
To make the equation in the form of
\(Y=mX+c\),
We divide the given equation with \(x\).
\(\begin{aligned} (y&=2px^2+qx) \div x \\\\ \dfrac{y}{x}&=\dfrac{2px^2}{x}+\dfrac{qx}{x} \\\\ \dfrac{y}{x}&=2px+q. \end{aligned}\)
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