Question
Question: The degree of the differential equation, of which y<sup>2</sup> = 4a (x + a) is a solution, is –...
The degree of the differential equation, of which y2 = 4a (x + a) is a solution, is –
A
1
B
2
C
3
D
None of these
Answer
2
Explanation
Solution
We have, y2 = 4a (x + a)... (1)
On differentiating w.r.t. x, we get
2y dxdy = 4a Ž a = 2ydxdy.
On substituting the value of a in equation (1), we get
y2=2ydxdy [x+2ydxdy]
Ž y = 2xdxdy + y (dxdy)2
Ž y [1–(dxdy)2] = 2x . dxdy,
which is the required differential equation. The degree of the differential equation is 2.Hence (2) is the correct answer