logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  CBSE XII  >>  Math  >>  Differential Equations
0 votes

True-or-False: Correct substitution for the solution of the differential equation of the type $\large\frac{dx}{dy}$$=g(x,y)$,where $g(x,y)$ is a homogeneous function of zero degree is $x=vy.$

Can you answer this question?
 
 

1 Answer

0 votes
Toolbox:
  • A homogeneous linear differential equation of the form $\large\frac{dy}{dx}$$=f(x,y)$ can be solved by substituting $x=vy$ and $\large\frac{dx}{dy}$$=v+y \large\frac{dv}{dx}$
If the differential equation is a homogenous differential equation and expressible as a function of $\large\frac{x}{y}$.
Then we put $x=vy$ and $\large\frac{dx}{dy}$$=v+y \large\frac{dv}{dy}$
Correct substitution for the solution of the differential equation of the type $\large\frac{dx}{dy}$$=g(x,y)$,where $g(x,y)$ is a homogeneous function of zero degree is $x=vy.$ $True$
answered May 22, 2013 by meena.p
 

Related questions

Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...