Question

\[\huge a^2 (dy - dx) = x^2 dy + y^2 dx; \text{a constant}\]

??

Answer 1

\[ a^2 (dy - dx) = x^2 dy + y^2 dx\]
rewrite it, you'd get
\[dy(a^2-x^2)=dx(a^2+y^2)\]
\[\frac{dy}{y^2+a^2}=\frac{dx}{a^2-x^2}\]
Now integrate both sides, do you need help with it?

Answer 2

@lgbasallote

Answer 3

i see..clever..first one is arctan right? second is arcsin?