x) = "1 U2 (t) y(1 [1 – 2e-(1-2) y(t) = 2 "20 1- 2e-(-2) + e=26–2)] + 10e- – 7e-2t -2(t- y(1) = 21- 2e--2) + e 26-2)| + 10e¬† + 7e 24 u2 (t) [1–2e"-2) + e20-2] + 10e' – Tet y(t) = %3D 2. u2 (t) 1- 2e-(+2) y(f) = +e26+2)] + 10e – 7e=24 %3D 2

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
Find the solution of the given initial value problem.
y" +3y' + 2y = uz(t); y(0) = 3, y'(0) = 4
u2 (t)
y(t) = " 1- 2e-(-2)
%3D
y(1) =
421- 2e--2) +e-20–2)] + 10e¯" – 7e 24
%3D
u2 (t)
y(1) = "(1 – 2e-(1-2) + e-2(0–2)| + 10e- + 7e-2t
u2 (t)
y(t) =
2
1- 2e"-) + e20-2'] + 10e' – 7e²4
+ e20-2] + 10e' - 7e
%3D
y(t) =
2
u2 (t)
1- 2e-+2) + e-2(+2)] + 10e – 7e-21
+eA+2) + 10e – 7e-24
Transcribed Image Text:Find the solution of the given initial value problem. y" +3y' + 2y = uz(t); y(0) = 3, y'(0) = 4 u2 (t) y(t) = " 1- 2e-(-2) %3D y(1) = 421- 2e--2) +e-20–2)] + 10e¯" – 7e 24 %3D u2 (t) y(1) = "(1 – 2e-(1-2) + e-2(0–2)| + 10e- + 7e-2t u2 (t) y(t) = 2 1- 2e"-) + e20-2'] + 10e' – 7e²4 + e20-2] + 10e' - 7e %3D y(t) = 2 u2 (t) 1- 2e-+2) + e-2(+2)] + 10e – 7e-21 +eA+2) + 10e – 7e-24
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

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