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Find the solution of the given initial value problem. y" + 3y' + 2y = u2(t), y(0) = 4, y' (0) = u2(t) y(t) = "21 – 2e1-2) + e-2(1-2)| + 12e + 8e¬2! 8e-21 ·e-2«-2)] + 12e¬t + 2 y(t) = "2 [1 – 2e-0-2) + e-2(-2)| + 12e¬ – 8e-21 u2(t) y() = "3 1 – [1 – 2e--2) + e2(1-2)] + 4e¬' – 4e-2! 2 y(t) u2(t) y(t) = "21 + 2e-(-2) + e-2(-2)| + 12e¬ – 8e-21 U2 (t) y(t) = "21 – 2e1-2) + e-2(1-2)| + 4e – 16e-2" + e-2-2)] + 4e¬ – 16e¯

Find the solution of the given initial value problem. y" + 3y' + 2y = u2(t), y(0) = 4, y' (0) = u2(t) y(t) = "21 – 2e1-2) + e-2(1-2)| + 12e + 8e¬2! 8e-21 ·e-2«-2)] + 12e¬t + 2 y(t) = "2 [1 – 2e-0-2) + e-2(-2)| + 12e¬ – 8e-21 u2(t) y() = "3 1 – [1 – 2e--2) + e2(1-2)] + 4e¬' – 4e-2! 2 y(t) u2(t) y(t) = "21 + 2e-(-2) + e-2(-2)| + 12e¬ – 8e-21 U2 (t) y(t) = "21 – 2e1-2) + e-2(1-2)| + 4e – 16e-2" + e-2-2)] + 4e¬ – 16e¯

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Find the solution of the given initial value problem. y" + 3y' + 2y = u2(t), y(0) = 4, y' (0) = 4 u2 (t) y(t) [1 – 2e--2) + e-2(1-2)] + 12e + 8e-2 2 U2 (t) y(t): - 2e-(-2) + e-2(1–2)] + 12e- – 8e-2 y(t): u2 (t) [1 – 2e-(-2) + e-2(1–2)] + 4e- – 4e-2! u2 (t) y(t) = "[1 + 2e-(-2) + e-2(-2)] + 12e¬ – 8e-24 2 u2(t) y(t) = "2 1 – 2e¬(-2) + e-2(-2)| + 4e - 16e-21 +e 20-2)] + 4e 2
Transcribed Image Text:Find the solution of the given initial value problem. y" + 3y' + 2y = u2(t), y(0) = 4, y' (0) = 4 u2 (t) y(t) [1 – 2e--2) + e-2(1-2)] + 12e + 8e-2 2 U2 (t) y(t): - 2e-(-2) + e-2(1–2)] + 12e- – 8e-2 y(t): u2 (t) [1 – 2e-(-2) + e-2(1–2)] + 4e- – 4e-2! u2 (t) y(t) = "[1 + 2e-(-2) + e-2(-2)] + 12e¬ – 8e-24 2 u2(t) y(t) = "2 1 – 2e¬(-2) + e-2(-2)| + 4e - 16e-21 +e 20-2)] + 4e 2
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