For each of the following differential equations, use Laplace transforms to find the solution to the IVP. 1. 3x + 12x + 60x = 8(t); x(0) = 0; x(0)=0 where 8(t) is the impulse or dirac delta function (row 1 in the Laplace transform table). 2. x + 10x + 25x = 0; x(0) = 1; x(0) = 0 3. x+ 5x + 6x = 2e-¹; x(0) = 1; x(0) = 0 4. + 2x = 8t; x(0) = 0; x(0) = 0 Show all your work/intermediate steps. Other solution methods besides Laplace transforms will not receive any credit
For each of the following differential equations, use Laplace transforms to find the solution to the IVP. 1. 3x + 12x + 60x = 8(t); x(0) = 0; x(0)=0 where 8(t) is the impulse or dirac delta function (row 1 in the Laplace transform table). 2. x + 10x + 25x = 0; x(0) = 1; x(0) = 0 3. x+ 5x + 6x = 2e-¹; x(0) = 1; x(0) = 0 4. + 2x = 8t; x(0) = 0; x(0) = 0 Show all your work/intermediate steps. Other solution methods besides Laplace transforms will not receive any credit
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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Can you answer Q2?
Transcribed Image Text:For each of the following differential equations, use Laplace transforms to find the solution to
the IVP.
1. 3x + 12x + 60x = 8(t); x(0) = 0; x (0) =0 where 8(t) is the impulse or dirac delta function
(row 1 in the Laplace transform table).
2. x + 10x +25x = 0; x(0) = 1; x(0) = 0
3. x+ 5x + 6x = 2e-t; x(0) = 1; x(0) = 0
4. + 2x = 8t; x(0) = 0; x(0) = 0
Show all your work/intermediate steps. Other solution methods besides Laplace transforms will
not receive any credit.
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