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

Find the differential equation of all non vertical lines in a plane.

$\begin{array}{1 1}(A)\;\large\frac{d^2y}{dx^2}=\frac{dy}{dx} \\(B)\;\large\frac{d^2y}{dx^2}-y=0 \\(C)\;\large\frac{d^2y}{dx^2}=0 \\ (D)\;\large\frac{d^2y}{dx^2}-\frac{dy}{dx}-y=0\end{array} $

Can you answer this question?
 
 

1 Answer

0 votes
Toolbox:
  • A differential equation is a linear differential equation if it is expressible in the form : $ P_0 \Large\frac{d^ny}{dx^n}$$+P_1 \Large\frac{d^{n-1}y}{dx^{n-1}}$$+P_2\Large \frac{d^{n-2}y}{dx^{n-2}}$$+...P_n y=Q$ Where $P_0,P_1....P_n$ and $Q$ are constants or function independent of variable x
To find the differential equation of all non-vertical lines in a plane
Clearly the equation of non vertical line in a plane is
$y=mx+c$
differentiating with respect to x on both sides
$\large\frac{dy}{dx}$$=m$
again differentiating with respect to x on both sides
$\large\frac{d^2y}{dx^2}$$=0$
Hence the differential equation is
$\large\frac{d^2y}{dx^2}$$=0$
answered May 7, 2013 by meena.p
 
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
...