y" - 2y' - 8y = 7x The Generai Solution to its Particular Solution is y, = Ar? + Bx + C Find the values for A, B, and C by 1. Finding the first and second derivatives of the particular solution "y;" and "y,"". 2. Plug these derivatives into the original differential equation for "y"" and "y". 3. Use the resulting equation to find the value of A, B, and C. B = 16 C = 64 A =7 B B = - 14 C =0 12 11 C = 36 8

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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y" - 2y' - 8y = 7x?
%3D
The General Solution to its Particular Solution is
y, = Ax? + Bx + C
Find the values for A, B, and C by
1. Finding the first and second derivatives of the particular solution "y;'" and "y,"".
2. Plug these derivatives into the original differential equation for "y"" and "y".
3. Use the resulting equation to find the value of A, B, and C.
-7
A =
8
7
A
16
7
C =
64
A = 7
B = - 14
C =0
-1
A =
6.
5
12
11
C =
36
-7
A =
B =
16
-21
C =
64
A = 7
E
B = -2
C = -8
A = 8
B = -7
F
3
C =
16
Transcribed Image Text:y" - 2y' - 8y = 7x? %3D The General Solution to its Particular Solution is y, = Ax? + Bx + C Find the values for A, B, and C by 1. Finding the first and second derivatives of the particular solution "y;'" and "y,"". 2. Plug these derivatives into the original differential equation for "y"" and "y". 3. Use the resulting equation to find the value of A, B, and C. -7 A = 8 7 A 16 7 C = 64 A = 7 B = - 14 C =0 -1 A = 6. 5 12 11 C = 36 -7 A = B = 16 -21 C = 64 A = 7 E B = -2 C = -8 A = 8 B = -7 F 3 C = 16
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