4. Determine i(t) in the circuit of Fig. of the Laplace transform. 12 i(t) u(t) m ΤΗ IF by means

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1.
Solve the following differential equation using the Laplace transform
method.
d²v(t)
du(t)
+ 4v(t) = 2e¹
dt²
dt
if v(0) = v'(0) = 2.
2.
Use the Laplace transform to solve the integrodifferential equation
+ 3y(t) + 2
2 ['v
y(T) dr = 2e-³t,
y(0) = 0
dt
3.
Given that v(0)
2 and du(0)/dt = 4, solve
d²v
du
dt²
+ 5- + 6v= 10e ¹u(t)
dt
Determine i(t) in the circuit of Fig.
of the Laplace transform.
12 i(t)
u(t)
1 F
m
1H
If i(t) = eu (1) A in the circuit shown in Fig.
find the value of io(t).
io(t)
is(t)
1 H
202
4.
5.
+4
by means
0.5 F
Transcribed Image Text:1. Solve the following differential equation using the Laplace transform method. d²v(t) du(t) + 4v(t) = 2e¹ dt² dt if v(0) = v'(0) = 2. 2. Use the Laplace transform to solve the integrodifferential equation + 3y(t) + 2 2 ['v y(T) dr = 2e-³t, y(0) = 0 dt 3. Given that v(0) 2 and du(0)/dt = 4, solve d²v du dt² + 5- + 6v= 10e ¹u(t) dt Determine i(t) in the circuit of Fig. of the Laplace transform. 12 i(t) u(t) 1 F m 1H If i(t) = eu (1) A in the circuit shown in Fig. find the value of io(t). io(t) is(t) 1 H 202 4. 5. +4 by means 0.5 F
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