Question

the equation y2= cx is general solution of ​

Answer 1

Step-by-step explanation:

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Answer 2

Given:

y2= cx

$\begin{aligned}y^{2} &=c x \\c &=\frac{y^{2}}{x}\end{aligned}$

$\text { Differentiate: }$

$\begin{array}{l}0=\frac{x\left(2 y y^{\prime}\right)-y^{2}}{x^{2}} \\y^{2}=2 x y y^{\prime} \\y^{\prime}=\frac{y^{2}}{2 x y}=\frac{y}{2 x}\end{array}$

Hence the equation y2= cx is general solution of ​C