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

Transcribed Image Text:QUESTION 1
Find the solution to the given differential equation.
y"+12y " + 36y'=0; y (0) = 0; y'(0) = 1;y" (0) = -7
y""+y" - 2y=0
y" - 4y'-5y=0; y(1) = 0; y'( 1) = 2
A. 5
y =
B.
36
-X
3
E. -1
y =
5
C₁y=c₁e¹+e
D.y=c₁+c₂e
3
36
y=e (c_cos
e
e
1
-6x
+ ·xe
6
-t
3
-(t-1)
(c_cost+c sint)
-x
e-*+€₂e²
зел
+c
+
-x+c sin-
-
F₁y=c₁e4x+c₁
2 te
- 6x
3
- 4x
,5 (t-1)
3
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