Q/ Obtain the expression for y(t) which is satisfying the differential equation: 1. ÿ + 6ỷ + 8y Neglect initial conditions = 16e-t

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Q/ Obtain the expression for y(t) which is satisfying the
differential equation:
= 16e-t
1.ў + бў + 8у
Neglect initial conditions
2. ў — 4ӱ + 9у %3D t
y(0) = 0 and y(0) = 1
= e-t
3.ӱ + Зӯ + 2у
y(0) = 0 and ý(0) = 0
Transcribed Image Text:Q/ Obtain the expression for y(t) which is satisfying the differential equation: = 16e-t 1.ў + бў + 8у Neglect initial conditions 2. ў — 4ӱ + 9у %3D t y(0) = 0 and y(0) = 1 = e-t 3.ӱ + Зӯ + 2у y(0) = 0 and ý(0) = 0
Q/ Find the inverse Laplace transform of given F(s):
(s + 2)
s(s + 3)(s + 4)
1. F(s)
2. F(s) :
(s - 2)
s(s + 1)3
(3s + 6)
3. F(s) :
s(s + 3)
s²+1
4. F(s) =
s(s + 1)2
Transcribed Image Text:Q/ Find the inverse Laplace transform of given F(s): (s + 2) s(s + 3)(s + 4) 1. F(s) 2. F(s) : (s - 2) s(s + 1)3 (3s + 6) 3. F(s) : s(s + 3) s²+1 4. F(s) = s(s + 1)2
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