Differential Equation Find the general solution of the following Repeated Ro

Dottie Parra

Dottie Parra

Answered question

2021-09-20

Differential Equation
Find the general solution of the following Repeated Roots of Auxiliary Equation.
(D24)(D2)=0

Answer & Explanation

Viktor Wiley

Viktor Wiley

Skilled2021-09-21Added 84 answers

Step 1
Consider the given equation.
(D24)(D2)=0
Equate each factor to zero and find the root.
D24=0
D2=4
D=±2
And,
D-2=0
D=2
Step 2
Now, write the general solution of the equation.
y(x)=c1e2x+c2e2x+c3xe2x
As, 2 is a repeated root.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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