4. Solve the following initial value problem using Laplace transforms: y" + 3y + 2y = g(t) with y(0) = 0 and y'(0) = -2 where OTT 2, t<6; g(t)=t, 4, 6 ≤ t < 10; t > 10.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Solve the following initial value problem using Laplace transforms:
y" + 3y' + 2y = g(t)
with y(0) = 0 and y'(0) = -2 where
%3D
2, t< 6;
g(t) = { t, 6 <t< 10;
| 4, t>10.
Transcribed Image Text:4. Solve the following initial value problem using Laplace transforms: y" + 3y' + 2y = g(t) with y(0) = 0 and y'(0) = -2 where %3D 2, t< 6; g(t) = { t, 6 <t< 10; | 4, t>10.
a) Check that the functions f(t) =t and g(t) = e
t are linearly independent
or not.
Transcribed Image Text:a) Check that the functions f(t) =t and g(t) = e t are linearly independent or not.
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