How do I get the P.I xp from the C.F xc on nonhomogeneous 2nd order derivtive equation in this problem. Work on the photos.

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...
icon
Related questions
Question

How do I get the P.I xp from the C.F xc on nonhomogeneous 2nd order derivtive equation in this problem. Work on the photos.

 

Diff. w.r.t t
2 dy
- Cost
ztP
-2(80st- 27) =-Cost
- 1o cest+ ux- - cast
$2x +4x = - cost +1ocost
ypl= g cast
det
is am auxilgg
for E2 0
Now
m²t4= 0
m²=-4
± ei
m= ± 21
The Ct is
xlt) = c, cos12t ) +
Cz Sinret)
PI
-1
cast a z
g cost
*
cert = 3 Cost
(H)+4
Transcribed Image Text:Diff. w.r.t t 2 dy - Cost ztP -2(80st- 27) =-Cost - 1o cest+ ux- - cast $2x +4x = - cost +1ocost ypl= g cast det is am auxilgg for E2 0 Now m²t4= 0 m²=-4 ± ei m= ± 21 The Ct is xlt) = c, cos12t ) + Cz Sinret) PI -1 cast a z g cost * cert = 3 Cost (H)+4
Step 1
Given:
dx/dt - 2y = -sin(t),
dy/dt + 2x = 5cos(t)
Explanation
Sal?
hiven!
de
2y= -sint
7P
r cast
> dy - scost
+ 22C
dt
point' c0,-3)
(o, -1)
x (0)=3
y 10)=2
Now
d% - 24 = - sint
%3D
Diff. w.rt t
2 dy
- Cost
* - 2/ scost -27) = - cost
JOSest+ ux = - cast
%3D
Transcribed Image Text:Step 1 Given: dx/dt - 2y = -sin(t), dy/dt + 2x = 5cos(t) Explanation Sal? hiven! de 2y= -sint 7P r cast > dy - scost + 22C dt point' c0,-3) (o, -1) x (0)=3 y 10)=2 Now d% - 24 = - sint %3D Diff. w.rt t 2 dy - Cost * - 2/ scost -27) = - cost JOSest+ ux = - cast %3D
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning