Question

Solve this: - f (x) dx + g (y) dy = 0

Answer 1

Answer:

$F(x)=G(y)+c$

Step-by-step explanation:

$-f(x)\:dx+g(y)\:dy=0$

Rearrnging terms we get

$\implies\:f(x)\:dx=g(y)\:dy$

Integrating,

$\int{f(x)\:dx}=\int{g(y)\:dy}$

$\implies\:F(x)=G(y)+c$

where,

F(x) is the anti-derivative of f(x)

G(y) is the anti-derivative of g(y)