Solve the equation y' - y = f(t), y(0) =0 1 where f(t) = et 0 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 –...

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

Extracted text: Solve the equation y' - y = f(t), y(0) =0 1 where f(t) = et 0< 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.

Jun 04, 2022

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Solve the equation y' - y = f(t), y(0) =0 1 where f(t) = et 0 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 –...

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