Do I make mistakes in the 2nd question? 2. y'-y'-zy=4e*2.2.r; =1, % =2.CY,=e2, Y2=e-tWEYLY] = ) Y, Yoertet= -et-20%=3etUict) = -92 Ct) gct)Cte-t)-3et dt4e-2t-3et dte- dt14e3t%3DUz ct) =Yict) gcb)dt=e-3et dt| ott24t3.%3D24,-3t,%3DThe yarbialor sebtion of theditferorbál equedaion isgven131 an expression for the parThisforcing function, or if you wish tProblemsIn each of Problems 1 through 3, use the method of variation orparameters to find a particular solution of the given differentialequation. Then check your answer by using the method ofundetermined coefficients.1. y" – 5y +6y = 4e'2,y" –y – 2y = 4e-|(1)93. 4y" – 4y' + y= 8e'/2In each of Problems 4 through 9, find the general solution of the givendifferential equation. In Problems 8 and 9, g is an arbitrary continuousfunction.%3|be010 0ーπ

Name: Do I make mistakes in the 2nd question? 2. y'-y'-zy=4e*2.2.r; =1, % =2
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Description: Do I make mistakes in the 2nd question? 2. y'-y'-zy=4e*2.2.r; =1, % =2.CY,=e2, Y2=e-tWEYLY] = ) Y, Yoertet= -et-20%=3etUict) = -92 Ct) gct)Cte-t)-3et dt4e-2t-3et dte- dt14e3t%3DUz ct) =Yict) gcb)dt=e-3et dt| ott24t3.%3D24,-3t,%3DThe yarbialor sebtion

Solve the differential equation

Answered: 2. y" – y – 2y = 4e¬t %3D - -

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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Do I make mistakes in the 2nd question?

2. y'-y'-zy=4e*
2.
2.
r; =1, % =2.
C
Y,=e2, Y2=e-t
WEYLY] = ) Y, Yo
ert
et
= -et-20%=3et
Uict) = -
92 Ct) gct)
Cte-t)
-3et dt
4e-2t
-3et dt
e- dt
14
e3t
%3D
Uz ct) =
Yict) gcb)
dt
=e
-3et dt
| ott
24t
3.
%3D
24,-3t,
%3D
The yarbialor sebtion of the
ditferorbál equedaion is
gven
131

an expression for the par
This
forcing function, or if you wish t
Problems
In each of Problems 1 through 3, use the method of variation or
parameters to find a particular solution of the given differential
equation. Then check your answer by using the method of
undetermined coefficients.
1. y" – 5y +6y = 4e'
2,
y" –y – 2y = 4e-
|
(1)9
3. 4y" – 4y' + y= 8e'/2
In each of Problems 4 through 9, find the general solution of the given
differential equation. In Problems 8 and 9, g is an arbitrary continuous
function.
%3|
be
01
0 <t < T/2
4./y"+y= 2tan t, 0<t< T/2
5. y"+4y = 3 csc(2t),
6. y" +4y' +4y = 21-2e-21,
7. 4y" +y = 8 sec(t/2),
8. y' +9y = g(t)
9. y - 7y + 10y = g(t)
In each of Problems 10 through 15, verify that the given function:
V, and y, satisfy the corresponding homogeneous equation; the
find a particular solution of the given nonhomogeneour
0 < t < T/2
t > 0
ーπ <tくπ
%3D
ow nodienouaonut sns
(o1) noitaupo lo noituloe
%3D
Problems 14 and 15 gid

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