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Question

Mathematics Question on Differential Equations

Match List I with List IIList I
Differential Equation| List II
Particular Integral (P.I)
---|---
A.| (D2+6D+9)y=e3x| I.| x6sin3x\frac{x}{6}\sin3x
B.| (D2-6D+9)y=3| II.| 15cos3x-\frac{1}{5}\cos3x
C.| (D2+4)y=cos3x| III.| 13\frac{1}{3}
D.| (D2+9)y= cos3x| IV.| 136e3x\frac{1}{36}e^{3x}
Choose the correct answer from the options given below:

A

A-IV, B-III, C-II, D-I

B

A-III, B-II, C-I, D-IV

C

A-II, B-I, C-III, D-IV

D

A-I, B-IV, C-II, D-III

Answer

A-IV, B-III, C-II, D-I

Explanation

Solution

The correct option is(A):A-IV, B-III, C-II, D-I.