The solution of the differential equation $e^x y dx + e^x dy + x dx = 0$ is

  • A
    $e^x + yx^2 = c$
  • B
    $2ye^x + x^2 = c$
  • C
    $ye^x + x^2e^y = c$
  • D
    $e^x + xe^y = c$

Explore More

Similar Questions

The solution of the differential equation $(2x - 3y + 5)dx + (9y - 6x - 7)dy = 0$ is

The particular solution of the differential equation $\log\left(\frac{dy}{dx}\right) = x$,when $x = 0, y = 1$ is .....

The solution of the differential equation $\frac{dy}{dx} = \frac{(1 + x)y}{(y - 1)x}$ is

The solution of $e^{dy/dx} = x$ with the initial conditions $x = 1$ and $y = 0$ is:

The equation of the curve passing through $\left(\frac{\pi}{6}, 0\right)$ and satisfying the differential equation $(e^y+1) \cos x \, dx + e^y \sin x \, dy = 0$ is:

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