The differential equation formed by eliminating arbitrary constants $A$ and $B$ from the equation $y = A \cos 3x + B \sin 3x$ is
- A$\frac{d^2 y}{dx^2} + y = 0$
- B$\frac{d^2 y}{dx^2} + 9y = 0$
- C$\frac{d^2 y}{dx^2} - 9y = 0$
- D$\frac{d^2 y}{dx^2} - y = 0$
Explore More
Similar Questions
The differential equation for which $y^2 = 4a(x + a)$ (where $a$ is a parameter) is the general solution,is
The equation which represents the system of parabolas whose axis is parallel to the $y$-axis satisfies the differential equation:
If the differential equation having $y=Ae^x+B \sin x$ as its general solution is $f(x) \frac{d^2 y}{d x^2}+g(x) \frac{d y}{d x}+h(x) y=0$,then $f(x)+g(x)+h(x)=$
Among the options given below,from which option can a differential equation of order two be formed?
Form the differential equation of the family of circles in the first quadrant which touch the coordinate axes.
Difficult
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