Find the particular solution to the given differential equation that satisfies the given conditions. y" + 2y' - 15y = 0; y' = 0 and y = 3 when x = 0 A B C 9 y=-e 8 D y = y = 9 - -e 8 9 15 - 5x 3x ∙e 8 - 5x + 3x -e + 8 15 8 8 15 -e ∙e 3x - 5x 9 5x Ⓒy=-1²-²+¹5+² -e 8 8 e 3x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Question
19.
Find the particular solution to the given
differential equation that satisfies the
given conditions.
y" + 2y' - 15y = 0; y' = 0 and y = 3 when x =
0
A
B
9
y=-e
8
с
y =
9
8
e
- 5x
- 5x
+
15
8
15
—▬▬▬▬▬▬
8
8
15
e
∙e
9
Ⓒy=+*+¹5-*
3x
∙e
8
e
3x
3x
5x
9
15
Ⓒ = -² -² + 1 ² +
5x
(D
3x
y
e
e
8
8
Transcribed Image Text:Find the particular solution to the given differential equation that satisfies the given conditions. y" + 2y' - 15y = 0; y' = 0 and y = 3 when x = 0 A B 9 y=-e 8 с y = 9 8 e - 5x - 5x + 15 8 15 —▬▬▬▬▬▬ 8 8 15 e ∙e 9 Ⓒy=+*+¹5-* 3x ∙e 8 e 3x 3x 5x 9 15 Ⓒ = -² -² + 1 ² + 5x (D 3x y e e 8 8
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