The differential equation of $3y = \sqrt{x + c}$ is
- A$\frac{dy}{dx} = \frac{1}{9y}$
- B$\frac{dy}{dx} = \frac{1}{27y}$
- C$\frac{dy}{dx} = \frac{1}{18y}$
- D$\frac{dy}{dx} = \frac{1}{36y}$
Explore More
Similar Questions
The differential equation of the family of circles passing through the origin and having centre on the $X$-axis is:
The differential equation representing the family of curves $x \sin x + y^3 = 4ax$ is
DifficultMHT CET 2026
View SolutionVerify that the function $y=e^{-3x}$ is a solution of the differential equation $\frac{d^{2}y}{dx^{2}}+\frac{dy}{dx}-6y=0$.
Easy
View SolutionThe differential equation of the family of parabolas with vertex at $(0,-1)$ and having axis along the $Y$-axis is
The differential equation of the family of straight lines whose slope is equal to $y$-intercept is
MediumKCET 2007
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo