The differential equation of the family of all straight lines passing through the origin is
- A$x = y \frac{dy}{dx}$
- B$\frac{dy}{dx} = 0$
- C$y = x \frac{dy}{dx}$
- D$\frac{d^2y}{dx^2} = \frac{y}{x}$
Explore More
Similar Questions
The differential equation corresponding to the family of circles in the plane touching the $Y$-axis at the origin is:
If $l$ and $m$ are the order and degree of the differential equation of all straight lines at a constant distance of $P$ units from the origin,then $l m^2+l^2 m=$
The differential equation of the family of curves,$x^{2}=4 b(y+b), b \in R,$ is
DifficultJEE MAIN 2020
View SolutionThe curve $y=(\cos x+y)^{1 / 2}$ satisfies the differential equation
MediumWBJEE 2014
View SolutionThe 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