If $\frac{a}{a_1}=\frac{b}{b_1}$,then the substitution to be used to solve the differential equation $\frac{dy}{dx}=\frac{ax+by+c}{a_1x+b_1y+c_1}$ by using separation of variables is

  • A
    $x=X+h, y=Y+k$
  • B
    $ax+by=z$
  • C
    $y=V(x) \cdot x$
  • D
    $x=at, y=bt$

Explore More

Similar Questions

The solution of the differential equation $2 x \left(\frac{d y}{d x}\right) - y = 4$ represents a family of

The function $f(x)$ satisfies the differential equation $f^2(x) + 4f'(x)f(x) + [f'(x)]^2 = 0$. Find the general solution for $f(x)$,where $c$ is an arbitrary constant.

Find the general solution of the differential equation: $e^{x} \tan y \, dx + (1 - e^{x}) \sec^{2} y \, dy = 0$.

Difficult
View Solution

The particular solution of the differential equation $x dy + 2y dx = 0$,when $x = 2, y = 1$ is

The solution of $\tan y \frac{dy}{dx} = \sin(x+y) + \sin(x-y)$ 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