The solution of the differential equation $\frac{dy}{dx} = x^2 + \sin 3x$ is

  • A
    $y = \frac{x^3}{3} + \frac{\cos 3x}{3} + c$
  • B
    $y = \frac{x^3}{3} - \frac{\cos 3x}{3} + c$
  • C
    $y = \frac{x^3}{3} + \sin 3x + c$
  • D
    None of these

Explore More

Similar Questions

The particular solution of the differential equation $(1+y^2) dx - xy dy = 0$ with the condition $y(1) = 0$ represents:

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

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

Let $y=y(x)$ be the solution of the differential equation $e^{x} \sqrt{1-y^{2}} dx + \frac{y}{x} dy = 0$,with $y(1) = -1$. Then the value of $(y(3))^{2}$ is equal to:

The general solution of the differential equation $\frac{dy}{dx} = \frac{x+y-3}{x+y-7}$ 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