d. y' - y = 2cos x with y(π) = 0 Yo (x) = et Yp (x) = e(-cos(x) + sin(x)) + C y (x) = -cos(x) + sin(x) + C.et

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.6: Solving Problems Involving Quadratic Equations
Problem 1ST
icon
Related questions
Question
Solve the following IFOLDES (for the specific solution as indicated) using the particular solution method. For each question you need to enter:
The solution to the homogeneous equation, omit any multiplicative constant here.
The particular solution with its constants determined.
The general solution in the form C-yo (x) + Yp (x).
The general solution after applying the given condition.
Transcribed Image Text:Solve the following IFOLDES (for the specific solution as indicated) using the particular solution method. For each question you need to enter: The solution to the homogeneous equation, omit any multiplicative constant here. The particular solution with its constants determined. The general solution in the form C-yo (x) + Yp (x). The general solution after applying the given condition.
d. y' - y = 2cos x with y(π) = 0
Yo (x) =
et
Yp (x) = ex-cos(x) + sin(x)) + C
e¯*(−cos(x)
y (x) = -cos(x) + sin(x) + C. et
y (x) =
(-π+x)
e
+ sin(x) - cos(x)
Transcribed Image Text:d. y' - y = 2cos x with y(π) = 0 Yo (x) = et Yp (x) = ex-cos(x) + sin(x)) + C e¯*(−cos(x) y (x) = -cos(x) + sin(x) + C. et y (x) = (-π+x) e + sin(x) - cos(x)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College