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2. Solve the following IVP by using the Laplace transforms. Choose ONE problem: (Hint: No need to evaluate the constants and L(6(t - e)) e, L{(u,(t)f(t -c)} = eF(s) (a) +3/ +2y 2 if 0 1 v(0) = 0, / (0) = 0 (20) (b) +2y+5y 1006(t-#), w(0) = -1,(0) 2 (20)

2. Solve the following IVP by using the Laplace transforms. Choose ONE problem: (Hint: No need to evaluate the constants and L(6(t - e)) e, L{(u,(t)f(t -c)} = eF(s) (a) +3/ +2y 2 if 0 1 v(0) = 0, / (0) = 0 (20) (b) +2y+5y 1006(t-#), w(0) = -1,(0) 2 (20)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Solve the following IVP by using the Laplace transforms. Choose ONE problem: (Hint: No need to evaluate the constants and L(8(t - e)} = e, L{u.(t)f(t - c)) = e F(s) (a) " + 3y + 2y =2 if 0 <t<1 and 0 if t >1 y(0) = 0, y/ (0) = 0 (20) (b) y" + 2y + 5y = 1006(t-), y(0) = -1, (0) = 2 (20)
Transcribed Image Text:2. Solve the following IVP by using the Laplace transforms. Choose ONE problem: (Hint: No need to evaluate the constants and L(8(t - e)} = e, L{u.(t)f(t - c)) = e F(s) (a) " + 3y + 2y =2 if 0 <t<1 and 0 if t >1 y(0) = 0, y/ (0) = 0 (20) (b) y" + 2y + 5y = 1006(t-), y(0) = -1, (0) = 2 (20)
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