Find the fundamental set of solutions of the following equations. No need to check Wron- skian. (a) y" + 7y' + 10y = 0 y = c₁e¯ -2t = -5t +Cze (b) y" — 4y' + 13y = 0 The two roots of the characteristic equation are 2 ± 3i y = c₁e²² cos(3t) + c2e²+ sin(3t)
Find the fundamental set of solutions of the following equations. No need to check Wron- skian. (a) y" + 7y' + 10y = 0 y = c₁e¯ -2t = -5t +Cze (b) y" — 4y' + 13y = 0 The two roots of the characteristic equation are 2 ± 3i y = c₁e²² cos(3t) + c2e²+ sin(3t)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 104E
Question
Can you show steps on how to get these answers
Transcribed Image Text:Find the fundamental set of solutions of the following equations. No need to check Wron-
skian.
(a) y" + 7y' + 10y = 0
y = c₁e¯
-2t
=
-5t
+Cze
(b) y" — 4y' + 13y = 0
The two roots of the characteristic equation are 2 ± 3i
y = c₁e²² cos(3t) + c2e²+ sin(3t)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 4 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning