Match List - I with List - II.
|
List - I |
List – II |
||
|
(A) |
$\left(\frac{d y}{d x}\right)^3+y x=0$ |
(I) |
2 |
|
(B) |
$e^{\frac{d y}{d x}}+y^2+y''=0 $ |
(II) |
1 |
|
(C) |
$x y y''+x\left(y'\right)^2-y y'=0$ |
(III) |
Not defined |
|
(D) |
$\left(y''\right)^2+y=0$ |
(IV) |
3 |
Choose the correct answer from the options given below :
Answer & explanation
Correct answer: option 1
A → for this equation highest derivative → $\frac{dy}{dx}$ with degree → 3 as its power (IV)
B → as an exponential is involved → degree no defined (III)
C → highest derivative → y'' highest power → 1 = degree (II)
D → highest derivative → y'' whose highest power → 2 → degree (I)