If $\frac{dy}{dx} = \frac{xy + y}{xy + x}$,then the solution of the differential equation is:

  • A
    $y = xe^x + c$
  • B
    $y = e^x + c$
  • C
    $y = x + A$
  • D
    None

Explore More

Similar Questions

The general solution of $\frac{dy}{dx} + \sin \left(\frac{x+y}{2}\right) = \sin \left(\frac{x-y}{2}\right)$ is

If $2 f(x) = f^{\prime}(x)$ and $f(0) = 3$,then the value of $f(2)$ is

The equation of the curve passing through the point $(1,0)$ and whose slope is $\frac{y - 1}{x^2 + x}$ is

The general solution of the differential equation $e^{y-x} \frac{dy}{dx} = y \left( \frac{\sin x + \cos x}{1 + y \log y} \right)$ is

If the curve $y = f(x)$ passes through the point $(1, e)$ and satisfies the differential equation $dy = y(2 + \log_e x) dx, x > 0$, then $f(e)$ is equal to:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo