Please show work, thanks. (2) Express the solution of the given initial-value problem in terms of...
Express the solution of the initial value problem in terms of a convolution integral. (Do not evaluate the integral. There will be an integral in your answer.) y" + 4y = g(t) y(0) = 1, y'(0) = 2
please solve the initial-value problem only thanks 2. Now find the explicit solution for the initial-value problem = y(ay - 1), y(0) = 1, by treating it as a Berno equation, and provide a graph of the solution function using Plot[y[x].(x,0,1}]. dz
Please help both questions, thanks (1 point) Let g(t) = e2 a Solve the initial value problem 4 – 2 = g(t), using the technique of integrating factors. (Do not use Laplace transforms.) y(0) = 0, (t) = b. Use Laplace transforms to determine the transfer function (t) given the initial value problem 6' - 24 = 8(t), (0) = 0. $(t) = c. Evaluate the convolution integral (6 + 9)(t) = Sølt – w)g(w) dw, and compare the resulting...
Solve the given symbolic initial value problem and sketch a graph of the solution y" + 2y =60(1-4): y0)=0, y(0) = 2 Solve the given symbolic initial value problem. y(t) =
Consider the initial value problem for function y given by, Consider the initial value problem for function y given by, (a) Find the Laplace Transform of the source function, F(s) = L[-3 F(s) = (b) Find the Laplace Transform of the solution, Y(s) Lt) Y(s) - (c) Find the solution y(t) of the initial value problem above. s(t) Recall: If needed, the step function at c is denoted as u(t - c) -1] Help Entering Answers Preview My Anawers Submit...
14. The more detailed solution the better. Thanks for your time! Consider the initial value problem y" + 4y = 8t, y(0) = 3, y0 = 8. (1) Take the Laplace transform of both sides of the given differential equation to create the corresponding alge- braic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). help (formulas) (2) Solve...
Please help with 1-10 and please show all work thanks. Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...
Taylor series. Please show all work neatly. Thanks! 2. In the course of some physics problem you need this integral: 1 dx where β is a small parameter. Find the series for f(3) up to and including any β3 terms
A linear system is governed by the given initial value problem. Find the transfer function How) for the system and the impune response function hil) and give a fomida for the solution to the initial value problem. y'-' +17y=(t): y0) = 0, y(0) - 4 Find the transfer function Find the impulse response function. Give a formula for the solution to the initial value problem using as the contin variable
6. Solve the given initial value problem, with y0 = 2 and y'0) = 5: y" - 6y' + 5y = 20t +1