Solve (2 0
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 30E
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Question
Transcribed Image Text:Solve
2 0<t<7
y"-4y+3y=
y(0) = 1 and y'(0) = 0
-3 t≥ 7
y(t) = f(t) − g(t)u(t — 7), where
-
1 3t 3
f(t) = ½³+ et
-
-
-
g(t)
= 3
×
Transcribed Image Text:Use the Laplace transform to solve the initial value problem
y"-3y+2y= f(t), y(0) = 0, y'(0) = 0
where
Note: Use u for the step function.
1 2t
y(t) = 3/15
+t+ √ √ e² - 2e²
f(t) = {2
if 0<t<4
2t8 if t≥ 4
✓
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