Recall from Section 5.1 that the differential equation for the instantaneous charge q(t) on the capacitor in an RC-series circuit is dq R +g = E(t). Use the Laplace transform to find the charge q(t) on the capacitor in an RC-series circuit subject to the given conditions. q(0) = 0, R = 0.4 N, C = 0.5 f, E(t) given in the figure below ( 2.5(u(1 – 3) – e-5(1-5)u(1 – 3)) ) (: - [3 q(t) =| 0 + E(t) 4 5 - 3

Q: Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an…

A:

Q: Use the Laplace transform to solve the given differential equation subject to the indicated initial…

A:

Q: Solve the differential equation dt - 8x 3e8t under the initial condition x(0) = 6 by using the…

A:

Q: on of period 2 pi in t. (x+sin r)(x

A: The differential equation is given as, dxdt=x+sin2tx-esint Let x=ft be the solution of the…

Q: At any given temporal coordinate, the rate of change at which the vertical position of an object…

A:

Q: The differential equation is as follows: d[RL] -[RL]k2 dt with initial conditions, [RL], = [RL];=0…

A: So, we will have to use [ RL ]0  as a value in here, and hence, it will be treated as a constant.…

Q: Estimate the value of Arcsec1.9 using differentials. On O 1 3 15√ √5 The answer cannot be found…

A:

Q: Use Laplace transforms to find the equation of the current as a function of time i(t) in a series…

A: Given that,L=0.1 HR=45 ΩC=2·10-4 FV=12 Vi(0)=0q(0)=0

Q: (b) Starting with the voltage divider rule, show that the power transmission coefficient T of an RC…

A:

Q: y(t) = y" - 7y' + 6y = et + s(t - 7) + 6(t-9), y(0) = 0, y'(0) = 0 ) + ( [ ])2(x-7)+ ( [ 1) 2(t-1

A:

Q: Find the solution of following ODE by Laplace transform of the function x( t) and Ca(t) that…

A: According to guidelines we can solve only one problem

Q: Solve the following differential equation using Laplace Transform: d?v(t) dv(t) + 4 dt + 4v(t) = e-t…

A:

Q: A dynamic system is described with the following differential equation: *+4x+20x = f(t), x(0)=1,…

A:

Q: (B):-Using Laplace transform, solve the following differential equation -y =10-6(t-)-100 - 8(t-1)…

A: To find the solution of given differential equation first we will take the laplace transform of both…

Q: evaluate r(g(1)) using the Chain Rule. dt r(1) = (4 sin 2r, 6 cos 21), g(1)=1²

A: Given: rt=4sin2t,6cos2t ,gt=t2

Q: Question3: A. Find the general solution of the following first-order ODE xy' = y + 2x³ sin² (²)

A:

Q: The equation that describes the accumulation of charge, denoted as q(t), on the capacitor within an…

A:

Q: Solve the following initial value problem using Laplace transform method: y' +6y=e4t; y (0) = 2.

A: We solve by using Laplace Transform.

Q: d³x + 2d²x - dx -2x=4+e²t dx+ 207 de dt³ dt² dt x(0)=1, x'(0)=0, x’’(0)= -1

A: The given initial value problem, d3xdt3+2d2xdt2-dxdt-2x=4+e2t with the initial conditions x0=1,…

Q: At any given temporal coordinate, the rate of change at which the vertical position of an object…

A:

Q: Solve the following equations using Laplace transform; (a) d2x/dt2 + 4 dx/dt + 3x = 2     x(0) =…

A:

Q: A piezoelectric transducer has an input Solve the differential equation to find e. For t = T-, find…

A: From the given information:

Q: Consider an initial value problem given a linear differential equation of the form t20 with d'u d?u…

A: The given differential equation is: d3udt3+2d2udt2+dudt=3t2-2e-t ;       u(0)=u'(0)=u''(0)=0

Q: Find the charge on the capacitor and the current in an LC-series circuit when L = 0.1 h, C = 0.1 f,…

A: To find the charge on the capacitor and the current in an LC-series