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.
-8 - x + 24x2 + 7x3
y"8y7y
_
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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. -8 - x + 24x2 + 7x3 y"8y7y _

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Expert Answer

Step 1

m2+
-8m7 0
(m+7)(m+1) 0
m 7,-1
y ce e
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m2+ -8m7 0 (m+7)(m+1) 0 m 7,-1 y ce e

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Step 2

yABxCr2D
yB2xC+ 3x2D
= 2C 6xD
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yABxCr2D yB2xC+ 3x2D = 2C 6xD

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Step 3

Substitute the first and second derivatives...

(2C+6xD)+8(B2xC+3x2D)+7(A+ Bx+ Cx2 +Dx3)-8-x+24x27x
Comparing the like terms as,
7D 7 D 1
24D 7C 24 C 0
6D 16C 7B=-1B =-1
2C 8B7A=-8A = 0
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(2C+6xD)+8(B2xC+3x2D)+7(A+ Bx+ Cx2 +Dx3)-8-x+24x27x Comparing the like terms as, 7D 7 D 1 24D 7C 24 C 0 6D 16C 7B=-1B =-1 2C 8B7A=-8A = 0

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