Question
Asked Oct 16, 2019
Then find the general
In Exercises 1-6 find a particular solution
solution and, where indicated, solve the initial value problem and graph the solution.
у" + 5у' — бу
2218x 18x2
1.
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Then find the general In Exercises 1-6 find a particular solution solution and, where indicated, solve the initial value problem and graph the solution. у" + 5у' — бу 2218x 18x2 1.

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Expert Answer

Step 1

т? +4m-630
m
(т+6)(m-1) -0
m 1,-6
-6х
у, — се в + се"
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т? +4m-630 m (т+6)(m-1) -0 m 1,-6 -6х у, — се в + се"

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Step 2

Ax2BxC
y,
- 2.Ax +B
y2.4
- 2A
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Ax2BxC y, - 2.Ax +B y2.4 - 2A

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Step 3

...
24+5(2.Ax+ B)-6(Ax + Bx+C)22+18x -18x
2A+104x+5B-6.4x2- 6Bx -6C 22+18x-18x2
-64x210.4x-6 Bx +2.4+5B-6C = 22 +18x-18x2
Comparing the like terms as,
2.4+5B-6C 22 A =3
10.4-6B 18B =2
6+10-6C 22>c =-1
y,3x +2x -1
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24+5(2.Ax+ B)-6(Ax + Bx+C)22+18x -18x 2A+104x+5B-6.4x2- 6Bx -6C 22+18x-18x2 -64x210.4x-6 Bx +2.4+5B-6C = 22 +18x-18x2 Comparing the like terms as, 2.4+5B-6C 22 A =3 10.4-6B 18B =2 6+10-6C 22>c =-1 y,3x +2x -1

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