Verity that `y^2=4a\ (x+a)` is a solution of the differential equation `y{1-((dy)/(dx))^2}=2x(dy)/(dx)dot`

Explanation

`y^{2}=4 a(x+a)`



differentiating with respect to x

`
2 y frac{d y}{d x}=4 a`


determine the value of

`

.y(1-(frac{d y}{d x})^{2}))-2 x frac{d y}{d x}`



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