Question
Asked Oct 7, 2019
Use this in Exercises 16-21 to find a particular solution . Then find the general solution and, where
indicated, solve the initial value problem and graph the solution
у" + 6у + 10у — е-3х
21.
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Use this in Exercises 16-21 to find a particular solution . Then find the general solution and, where indicated, solve the initial value problem and graph the solution у" + 6у + 10у — е-3х 21.

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Expert Answer

Step 1

Given,

y"6y'+10y e3x
(1)
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y"6y'+10y e3x (1)

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Step 2

Apply the method of undetermined coefficient,

Assume, Particular solution is given by

-3x
Ae
-3x
: -3Ae
y(-3) 4e
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-3x Ae -3x : -3Ae y(-3) 4e

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Step 3

Equation (1) b...

— (94е*)-6(-3де *)-10(ле *) -е
-3х
-3х
—9Ае * —184e * + 10Aе 3х — ебх
-3х
— Ае * -
оп comparing,
А%3 1
у. (х) -е %х
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— (94е*)-6(-3де *)-10(ле *) -е -3х -3х —9Ае * —184e * + 10Aе 3х — ебх -3х — Ае * - оп comparing, А%3 1 у. (х) -е %х

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Tagged in

Math

Calculus