Question

45 Find L 32 +25-3 5 -3t (write 5/6 by 6' , e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)). **{3+2-3)

Answer 1

4 (-3) = A (-3-1) +B(o) us ♡ { " ...] 10 824 28-3 = 843 su s-3 Consides -s(843) -I (147) wedivide into partial fracting (543) (1-11) B A St3 s²+23-3 (5+3) (S-1) ACS-1) +8 (373) 3 - کمدی (5+3) cst) us= A (1) AB (3+3) for B fat s=1 in un weget vale 40)= A (0) + 3 (1+3) i=4B [12B weget vale for A. put Sz-3 in ein tk - THA 3 ZA us 13 from o 8-1 3+3 82 +25-3

Apply inverne la place trenn form in both side 3 - 3 +3 82 25-3 S+3 + 3 - 월 34t SU-3 u_3 at LR- ㅗ sta

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