Show that `y=c x+a/c` is a solution of the differential equation `y=x(dy)/(dx)+a/((dy)/(dx))dot`

Explanation

`y=c x+frac{a}{c}`



Differentiating w.r.t. `x`, we get, `frac{d y}{d x}=c`


Therefore,



`x frac{d y}{d x}+frac{a}{frac{d y}{d x}}=c x+frac{a}{c}`




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