MATH 231, Worksheet Date: May 8, 2020 Find the inverse Laplace transform for each function. 1. F (s)= e -⇡s/2 s 2 +9 2. F (s)= 1 s 2 (s 2 + 4) 3. F (s)= s s 2 +6s + 11 4. F (s)= e -s s s 2 +6s + 11 5. F (s)= 1 (s - 1) 3 + 1 s 2 +2s - 8 6. F (s)= e -2s 1 (s - 1) 3 + e -s 1 s 2 +2s - 8 Overriding Theme in course made possible by a focus on linear problems Take a homogeneous version of the problem at hand solve it soIn often contains freedoms variously called Null space homogeneous solar span of basis solutions Find one soln to the given problem particular sin Full Soh is Sun of results from and Even Ch 5 is in this vein ay by tey fct glo yo y'Co y
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by - scofield.sitescofield.site/courses/m231/coronaDays/invLaplaceTransWsheet8am… · 5. F(s)= 1 (s1)3 + 1 s2 +2s8 6. F(s)=e2s 1 (s1)3 +es 1 s2 +2s8 Overriding Theme in course made
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MATH 231, Worksheet
Date: May 8, 2020
Find the inverse Laplace transform for each function.
1. F (s) =e�⇡s/2
s2 + 9
2. F (s) =1
s2(s2 + 4)
3. F (s) =s
s2 + 6s+ 11
4. F (s) = e�s s
s2 + 6s+ 11
5. F (s) =1
(s� 1)3+
1
s2 + 2s� 8
6. F (s) = e�2s 1
(s� 1)3+ e�s 1
s2 + 2s� 8
Overriding Theme in course made possible by a focus on linear problemsTake a homogeneous version of the problem at hand
solve itsoIn often contains freedoms
variously called Nullspace homogeneous solarspanof basis solutions
Find one soln to the given problem particular sin
Full Soh is Sun of results from and
Even Ch 5 is in this vein
ay by tey fct glo yo y'Co y
LI ay by tey f fits
al s t sy y bls't y t e't F
as lost c Y f s t asyotay byF Is asyo ay 1byY s as r bas te as'tbste