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Solve the equation y' - y = f(t), y(0) =0 1 where f(t) = et 0 1 e-s + e S- 1 1 e-s · F(s) = =- y(t) = e' – 1+ (1 – e'-1+ e(t – 1)e'-1)µ(t – 1) b. y(t) = 1+t - e' – 2(t – e'- 1)µ(t – 1) y(t) = 1 +t – 2(t – e'-1)µ(t – 1) d. y(t) = e' - 1-t +(-3e'-1+2t + 1)µ(t – 1) a. C.

Solve the equation y' - y = f(t), y(0) =0 1 where f(t) = et 0 1 e-s + e S- 1 1 e-s · F(s) = =- y(t) = e' – 1+ (1 – e'-1+ e(t – 1)e'-1)µ(t – 1) b. y(t) = 1+t - e' – 2(t – e'- 1)µ(t – 1) y(t) = 1 +t – 2(t – e'-1)µ(t – 1) d. y(t) = e' - 1-t +(-3e'-1+2t + 1)µ(t – 1) a. C.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Solve the equation y' - y = f(t), y(0) =0 1 where f(t) = et 0<t < 1 t> 1 1 F(s) = e-s + e S- 1 e-s y(t) = e' – 1+ (1 – e'-1+ e(t – 1)e'-1)µ(t – 1) b. y(t) = 1+t - e' – 2(t – e'- 1)µ(t – 1) y(t) = 1 +t – 2(t – e'-1)µ(t – 1) d. y(t) = e' – 1-t +(-3e'-1+2t + 1)µ(t – 1) a. C.
Transcribed Image Text:Solve the equation y' - y = f(t), y(0) =0 1 where f(t) = et 0<t < 1 t> 1 1 F(s) = e-s + e S- 1 e-s y(t) = e' – 1+ (1 – e'-1+ e(t – 1)e'-1)µ(t – 1) b. y(t) = 1+t - e' – 2(t – e'- 1)µ(t – 1) y(t) = 1 +t – 2(t – e'-1)µ(t – 1) d. y(t) = e' – 1-t +(-3e'-1+2t + 1)µ(t – 1) a. C.
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