Question

Section 6.3 Step Function: Problem 14 Previous Problem Problem List Next Problem (1 point) Compute the inverse Laplace transform of P(a)= 3 " f(t) = [e"(t-4)-e (2(1-4)]u(t-4) (Notation: write uſt-c) for the Heaviside step function e(t) with step at t = c.) If you don't get this in 2 tries, you can get a hint. Hint: Preview My Answers Submit Answers You have attempted this problem 4 times. Your overall recorded econo i

can I get some help I'll try for many hours but still get it wrong.
thanks

Answer 1

of Important formula Goat o é uchy sta Laplace Transform G e ulth C.T. tat I Note : 2641 Klity xls) elt-a) ICT (s) e as given dale in quetion Fis) a steel as S - = FIS -Sn 5?25-5+ - S(S-2)+(5-2) 52-3579 sta eus = (5 (8-3) now using partial praction method FLGS - F'is) = (5-1) (5-2) -5. = A + B 5752 +0 =-5 = A(S-2) + B (S-1) put s=2 -2=0 t B(-1) B=-2) put S= -1 = A (1-2) to

now put value of A & B into o FIS) = (da) eus-atlets how finding inverse Laplace of above equation 214-4] 2 [t-u] e cult-4) -2e alt-4) tuti – 1. = [t-4] é. U[t-u q[t-u e ]. ult-47 ] -2 fit) 2 e to = [eu even Jute-u3] | 444 = [perszeiten] uteup ** It-ŲJ 9 (t you miss it and doing mistake in partial paction All the best