The solution of the equation $(1 + x^2)\frac{dy}{dx} = 1$ is

  • A
    $y = \log(1 + x^2) + c$
  • B
    $y + \log(1 + x^2) + c = 0$
  • C
    $y - \log(1 + x) = c$
  • D
    $y = \tan^{-1}x + c$

Explore More

Similar Questions

If a curve $y = f(x)$ passes through the point $(1, -1)$ and satisfies the differential equation $y(1 + xy)dx = xdy$,then $f(-\frac{1}{2}) = $ . . . . .

The solution of the differential equation $\sec^2 x \tan y \, dx + \sec^2 y \tan x \, dy = 0$ with the initial condition $y(\frac{\pi}{4}) = \frac{\pi}{3}$ is:

Find a particular solution satisfying the given condition: $\frac{dy}{dx} = y \tan x$; $y = 1$ when $x = 0$.

The equation of the curve whose slope at any point is equal to $2xy$ and which passes through the point $(0,1)$ is

The solution of $\frac{dy}{dx} = 2^{y - x}$ 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