PG entrance exam CUET PG 2025 Mock Test Mathematical Science Ordinary Differential Equations Diff equation with constant Coefficient
Match List - I with List - II
|
List - I Differential Equation |
List - II Particular Integral (P.I.) |
||
|
(A). |
\(\)\(\left(D^2+6 D+9\right) y=e^x\) |
(I). |
\(\frac{2}{13} e^x \sin 2 x+\frac{10}{13} e^x \cos 2 x\) |
|
(B). |
\((D^2 - 3D -4 )y = 2 \sin{x} \) |
(II). |
\(\frac{e^x}{16}\) |
|
(C). |
\(\left(D^2-3 D-4\right) y=-8 e^x \cos 2 x\) |
(III). |
\(\frac{-5}{17} \sin x+\frac{3}{17} \cos x\) |
|
(D). |
\(\left(D^2-3 D-4\right) y=2 e^{-x}\) |
(IV). |
\(\frac{-2}{5} x e^{-x}\) |
Choose the correct answer from the options given below:
1
(A) - (I), (B) - (II), (C) - (III), (D) - (IV)
2
(A) - (II), (B) - (III), (C) - (I), (D) - (IV)
3
(A) - (III), (B) - (II), (C) - (IV), (D) - (I)
4
(A) - (IV), (B) - (III), (C) - (I), (D) - (II)