Separable Form After Homogeneous Substitution
For:
$$\frac{dy}{dx}=F\left(\frac{y}{x}\right)$$
putting:
$$y=vx$$
gives:
$$v+x\frac{dv}{dx}=F(v)$$
Usage
- Rearranging this equation produces a separable equation in $$v$$ and $$x$$.
Sign in
Please select an account to continue using cracku.in
↓ →
CAT Formulas
Differential Equations
Separable Form After Homogeneous Substitution
Separable Form After Homogeneous Substitution
For:
$$\frac{dy}{dx}=F\left(\frac{y}{x}\right)$$
putting:
$$y=vx$$
gives:
$$v+x\frac{dv}{dx}=F(v)$$
Usage
- Rearranging this equation produces a separable equation in $$v$$ and $$x$$.
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation