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Consider the signal x(t) = te-atu(t), a > 0 Find to = 1.00 /*(t)?|dt Find to...
+ 2y = 4u, y(0) = 0, for the following input: Solve: dt 0<t<T u(t) t>T...
+ 2y = 4u, y(0) = 0, for the following input: Solve: dt 0<t<T u(t) t>T Graph the solution (you may use Excel or Matlab) for T= 1sec, 0.1sec, 0.01sec, and 0.001sec. Do you see what is happening to the output? What is happening to the input?!
Find the Laplace Transform (d) f(t) = te, 0<t<1, et, t > 1. l
Find the Laplace Transform
(d) f(t) = te, 0<t<1, et, t > 1. l
-). Solve the initial and boundary value problem: uUx=0, TE (0,), t > 0, U (0,t)...
-). Solve the initial and boundary value problem: uUx=0, TE (0,), t > 0, U (0,t) = u(,t) = 0, >0, u(,0) - cos', 1€ (0,7).
Given the network in fig., find v(t) for t>0. 2 A 1 H 4Ω 6 A...
Given the network in fig., find v(t) for t>0. 2 A 1 H 4Ω 6 A 1Ω 0.03 F v (t) = cos sin
For #1 and #2, find the general solution of the ODE system tX' = AX, t>...
For #1 and #2, find the general solution of the ODE system tX' = AX, t> 0. (You do NOT need to verify that the Wronskian is nonzero.) 1. A= ( 1)
Let T: P2 --> R2 be the linear transformation such that T(x+1)=(1,1), T(x2)=(1,0) and T(x-1)=(0, 1)....
Let T: P2 --> R2 be the linear transformation such that T(x+1)=(1,1), T(x2)=(1,0) and T(x-1)=(0, 1). Find T(2+x+x2).
Solve the equation yu- xui = u, t > 0,x >0 with the initial conditions u(x,...
Solve the equation yu- xui = u, t > 0,x >0 with the initial conditions u(x, 0) =1 + x2 using the method of characteristics. Find the u(x, y). Substitute your found solution u(x, y) in the equation and verify that it satisfies the equation. solution explicitly in the form u =
A signal x(t) is defined as; 3 0 -0.2 <t < 0.2 - 1.8<t< -0.2 To...
A signal x(t) is defined as; 3 0 -0.2 <t < 0.2 - 1.8<t< -0.2 To implement Fourier Series (t)---> (ults) -1 1 0 t---> (sec) (ii) To= Wo=- Do- Dn= Sketch D vs nw.. (vi) Sketch <D, (e.) vs nw.. (vii) Power of r(t) = (viii) Express x(t) as sum of Sine Waves, Cosine waves and DC (ix) Show that the expression found in part(viii) is real
(2) The circuit is at steady state for t<0. Find v(t) for t>0. Answer t=0 ZF...
(2) The circuit is at steady state for t<0. Find v(t) for t>0. Answer t=0 ZF Navt)14 T
Q4: The switch in the has been open a long time before closing at t=0. Find...
Q4: The switch in the has been open a long time before closing at t=0. Find iz(t) for t>0. 2.5 k92 ina 262.5H 15V 2.5HF 9 mA
+ 2y = 4u, y(0) = 0, for the following input: Solve: dt 0<t<T u(t) t>T Graph the solution (you may use Excel or Matlab) for T= 1sec, 0.1sec, 0.01sec, and 0.001sec. Do you see what is happening to the output? What is happening to the input?!
Find the Laplace Transform
(d) f(t) = te, 0<t<1, et, t > 1. l
-). Solve the initial and boundary value problem: uUx=0, TE (0,), t > 0, U (0,t) = u(,t) = 0, >0, u(,0) - cos', 1€ (0,7).
Given the network in fig., find v(t) for t>0. 2 A 1 H 4Ω 6 A 1Ω 0.03 F v (t) = cos sin
For #1 and #2, find the general solution of the ODE system tX' = AX, t> 0. (You do NOT need to verify that the Wronskian is nonzero.) 1. A= ( 1)
Let T: P2 --> R2 be the linear transformation such that T(x+1)=(1,1), T(x2)=(1,0) and T(x-1)=(0, 1). Find T(2+x+x2).
Solve the equation yu- xui = u, t > 0,x >0 with the initial conditions u(x, 0) =1 + x2 using the method of characteristics. Find the u(x, y). Substitute your found solution u(x, y) in the equation and verify that it satisfies the equation. solution explicitly in the form u =
A signal x(t) is defined as; 3 0 -0.2 <t < 0.2 - 1.8<t< -0.2 To implement Fourier Series (t)---> (ults) -1 1 0 t---> (sec) (ii) To= Wo=- Do- Dn= Sketch D vs nw.. (vi) Sketch <D, (e.) vs nw.. (vii) Power of r(t) = (viii) Express x(t) as sum of Sine Waves, Cosine waves and DC (ix) Show that the expression found in part(viii) is real
(2) The circuit is at steady state for t<0. Find v(t) for t>0. Answer t=0 ZF Navt)14 T
Q4: The switch in the has been open a long time before closing at t=0. Find iz(t) for t>0. 2.5 k92 ina 262.5H 15V 2.5HF 9 mA
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