The solution of a differential equation y′′+3y′+2y=0 is of the form

Eliza Shields

Eliza Shields

Answered question

2023-03-24

The solution of a differential equation y′′+3y′+2y=0 is of the form
A) c 1 e x + c 2 e 2 x
B) c 1 e x + c 2 e 3 x
C) c 1 e x + c 2 e 2 x
D) c 1 e 2 x + c 2 2 x

Answer & Explanation

Haylee French

Haylee French

Beginner2023-03-25Added 7 answers

Step 1
The correct answer is C) c 1 e x + c 2 2 2 x
Given DE is y′′+3y′+2y=0
( D 2 + 3 D + 2 ) y = 0... ( i )
AE is m 2 + 3 m + 2 = 0
⇒m=−1 and −2
Step 2
General solution is
y = c 1 e x + c 2 e 2 x

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