Consider the following IVP: Consider the following IVP: y' +y = e2t ; y(0) = 0 y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. Find the general solution. A y(t) 12-51 _ 13 21 21 A y(t) = - -e 14 35 10 13 -21 5t + -e B y(t) = 10 B y (t) re 35 14 3 14 -21 y(1) y(1) -e 5 35 10 13 у (1) 1,-5t _ 13 ,21 D) y(t) = -e 21 - - 10 35 14
Consider the following IVP: Consider the following IVP: y' +y = e2t ; y(0) = 0 y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. Find the general solution. A y(t) 12-51 _ 13 21 21 A y(t) = - -e 14 35 10 13 -21 5t + -e B y(t) = 10 B y (t) re 35 14 3 14 -21 y(1) y(1) -e 5 35 10 13 у (1) 1,-5t _ 13 ,21 D) y(t) = -e 21 - - 10 35 14
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Transcribed Image Text:Consider the following IVP:
Consider the following IVP:
y" -3y' -10y = 1, y(0) = -1, y'(0) = 2
y' +y = e2* ; y(0) = 0
Find the general solution.
Find the general solution.
1
12
13
(А) у (1)
2r
+ -e
-5r
A)
2t
-t
-e
y(t)
- -
e
-
14
35
10
1
1
13
B)
y(t)
5t
Fe
-2t
e
(B
y(t)
10
35
14
3
3
1
1 5t
+ -e
14 -21
1
1
у (t)
у (t)
-2r
- -e
+ -e
+ -e
35
10
13
у (1)
1
-5t _ 13 21
2r
(D)
+
35
(D
- -e
y(t)
- -
-e
10
14
3
3
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