Question

Solve:

$\sqrt{a-x}dx+\sqrt{a+y}dy=0$

Answer 1

Given,

$\sqrt{a-x}dx+\sqrt{a+y}dy=0$

Now integrating we get,

$-\frac{2}{3}(a-x{)}^{\frac{3}{2}}+\frac{2}{3}(a+y{)}^{\frac{3}{2}}=c$ [ Where $c$ being integrating constant]