If the solution of the differential equation (\frac{dy}{dx}=... | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

If the solution of the differential equation $\frac{dy}{dx}=\frac{2x+3y}{3x-2y}$ is y = xtan(f(x)) + c then f(x) =

A

$\frac13log(x^2+y^2)$

B

(2x+3y)logx

C

xlog $\frac{y}{x}$ +y2

D

sin(x+y2)

Answer

$\frac13log(x^2+y^2)$

Explanation

Solution

The correct option is (A) $\frac13log(x^2+y^2)$