help 1. (10 points) Find the inverse Laplace f(t) = --'{F} of the following: 4 6...
1. (10 points) Find the inverse Laplace() = C'{F} of the following: 4 6 1 a) 2 F(S) + s 8 + 8 S b) 2 F(s) c) 2 F(S) (s - 1)(8-2) 8 +3 32 +2s +5 782 +238 +30 (8-2)(2+28+5) d) 4 F(s) =
(1 point) Find the inverse Laplace transform f(t) = C-' {F(s)} of the function F(s) = 2s - 3 32 + 16 560) = c { 2s - 3 32 + 16 = 2cos(4t)-2 sin(4) help (formulas)
(1 point) Find the inverse Laplace transform f(t) = 2" (F(s)} of the function F(s) = 2s 8²-1 (t) = -1 ^{}--G-- help (formulas)
Find Laplace Transform for the following functions: 5- f(t) = 3t^e2t 6- f(t) = e-+(2+* + 3t2 +10) 7- f(t) = e-4 cos(3) Find Laplace inverse: 5- F(s) 2 2+9 6- F(S) = (s+3)* 7- F($) = (s+1)(8-2) 10 8- F(s) = (3-3)(s+4) 9. F(S) s(s-1)(3-4) 35+1
please answer all parts MATH 2303 Workshop 8 NAME (please print legibly): Your SMU ID Number: SHOW ALL YOUR WORK TO RECEIVE FULL CREDIT. 1. (10 points) Find the inverse Laplace f(t) = --!{F} of the following: 4 6 1 a) 2 F(8) =-+ S 8 + 8 b) 2 F(8) (8 - 1)(8-2) c) 2 F(8) 8 +3 92 +2s +5 792 +23s + 30 (8-2)(2+2s+5) d) 4 F(8)
9s 11 (1 pt) Find the inverse Laplace transform f(t) = L=1 {F(s)}| of the function F(s) s2 2s5 9s 11 f(t)= L' help (formulas) $2-2S+5
1. (10 points) Find the inverse Laplace transform of the following: 85 - 4s +12 s? +45-5 b. F(x) = s(s? +2s + 5) 2. (10 points) Determine if the following differential equation is exact. Be sure give a reason for why or why not. If it is exact, solve it. (xy? + 3x y)+(x° +xºy)y'=0 a. F(s)= (1-25)e-
8 7. (1 point) Find the inverse Laplace transform f(t) = C-' (F(s)) of the function F(s) = $-2 10=c='{, *2 -3} - help (formulas)
d and f only Obtain the inverse Laplace transform f () for the following: 2.8 5 6 4s a. $2+9 $2+4 s2+4 5 6 d. s(s +3) 2s +8 с. s2+4s+ 13 10 f. (s+3)(s+7 е. (s+3)(s +7)
PB.10 For each of the functions given, find the inverse Laplace transform and write the result in real form (s + 4)(8 + 7) (a) X(s) + (8 + 1)(82 + 2s + 2) (b) X(s) = (92 + 1)2 (c) X(s) = 51 – 29 + 5 1