Ask Questions, Get Answers

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

The general solution of the differential equation $\large\frac{ydx-xdy}{y}$$=0\;is$


Can you answer this question?

1 Answer

0 votes
  • The linear differential equation of the form dy/dx = F(x,y), where F(x,y) is of the form g(x).h(y), where g(x) is a function of x and h(y) is a function of y is called variable seperable. Such equations can be solved by seperating the variables and integrating them.
Step 1:
Given $\large\frac{ydx - xdy}{y}$$= 0$
Separating the variables we get,
Step 2:
Integrating on both sides we get,
$\log y = \log x + \log C$
$\log y - \log x =\log C$
$\log\mid\large\frac{y}{x}\mid $$= \log C$
Or $y=Cx$
Hence the correct option is C.
answered Jul 29, 2013 by sreemathi.v
edited Jul 29, 2013 by sreemathi.v

Related questions

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