Engineering Board Exam Reviewer · Differential Equations by Laplace Transform · medium

Use Laplace transforms to solve y'+4y=8 with y(0)=0, and find y(0.5).

1. 2
2. 0.27
3. 1.73
4. 1.26

Answer

C. 1.73

Solution

sY-0+4Y= 8s Y=8/s(s+4)= 2s-2/s+4. So y=2-2e-4t and y(0.5)=2(1-e-2) 1.73.

More Differential Equations by Laplace Transform questions

1. Use Laplace transforms to solve y''+3y'+2y=e-t with y(0)=y'(0)=0, and find y(2).
2. Use Laplace transforms to solve y''+4y= 2t with y(0)=y'(0)=0, and find y≤ft( π4 ).
3. Use Laplace transforms to solve y''-3y'+2y=0 with y(0)=1 and y'(0)=0, and find y(0.5).

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