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differential equation, Quizzes of Mathematics

Northeastern University (NU)Mathematics

Solution to quiz for fall diff equations

Typology: Quizzes

2021/2022

Uploaded on 11/29/2022

ameerah-amao
ameerah-amao 🇺🇸

5 documents

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MATH 2341 QUIZ 5A NAME SOLUTIONS. October 13, 2022 NO CREDIT GIVEN UNLESS THE WORK IS SHOWN. 00B LUAol= fe fat = fe Cavde + [e(—7ae = 7 lim ff eat 3 = -7 lim (-I/se-) [8 where s # 0 = 7s lim (e* - e*) = 7s lim (Me 2 Find the inverse Laplace transform of each of the following functions. (A) Fis) = __8 s+ 10s +29 FCs): * Bn a Be s+ 10s+29 (s+5P+2? (after completing the square) Ste 2 (s+ 5)? + 2? & fd) = 4% sin 2¢ (B) F(s) = 85~35 s? +105 +25 is) = 85+35 = 3s5+35 Partial Fractions s+ 10s +25 (s+5P A 8 _ “ “oe * GBF A(s+5) + B= 85435 As + (54 + B) = 85+35 A=8 S44+8=35 + B= -5 = 4, .5. « g. hs 5. tL F(s) sts (st5)? 5 SHS 4 (s+5)!42 & ft) = Ber - Ste FALL 2022 (15 POINTS) (4 points) et) 5 >0 (4 points) (7 points)