Match List-I with List-II.
| List-I | List-II | ||
| (Differential equation) | (Degree) | ||
| (A) | $(y")^3+sin(y')=e^x$ | (I) | 2 |
| (B) | $(y")^2+(y')^3=sin x$ | (II) | 1 |
| (C) | $y'''+5y''+6y'+3y = cos x $ | (III) | Not defined |
| (D) | $[1+(y')^2]^{\frac{2}{3}}=y''$ | (IV) | 3 |
Choose the correct answer from the options given below :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (A)-(III), (B)-(I), (C)-(II), (D)-(IV)
(A) → Degree Not defined (III) (differential y' is a function of sin)
(B) → Degree 2 (I)
(C) → Degree 1 (II)
(D) → Degree 3 (IV)