Question: Consider the following initial - value problem. y ' ' - 3 y ' = 4 e 2 t - 2 e - t ,

Consider the following initial-value problem.
y''-3y'=4e2t-2e-t,y(0)=1,y'(0)=-1
Find L{f(t)}, for f(t)=4e2t-2e-t.(Write your answer as a function of s.)
??f(t)=
Use the Laplace transform to solve the given initial-value problem.
y(t)=
Consider the following initial - value problem. y

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

I have rewritten the higher order initial value problem to a system of first-order ODEs as you can see below, I just need you to do part B now and show me how you would code it. Below I have also put...

Q:

Consider the initial value problem: $$ [3) y*[\prime prime prime) -3 t (2) y*[\prime prime]+5 t y^{\prime)-6 yt*(-1), \quad y(2)=0, [\prime) (2)=1y{\prime \prime) (2)=0 $$ The real numbers $a, b5 and...

Q:

Question within image Consider the following initial value problem: xy' + 2y : 8302 y (1) : 3 We can solve algebraically to nd the particular solution (by using the integrating factor method):...

Q:

I need help setting up and solving 3A, 3B, 3C and 3D 2 DUE TO FRIDAY NOV 8 AT 10:00AM Problem 2. Show that the Laplace transform satisfies the following properties: (a) L(ect . f(t) ) (s) = [(f(t))...

Q:

hw11: Problem 1 Previous Problem Problem List Next Problem (1' point) For the functions f(t) = et and g(t) = e , defined on 0 0. a. Use convolution and Laplace transforms to find the Laplace...

Q:

Project 1This project introduces approximations to Ordinary Diferential Equations using numerical methods. You will program three numerical solvers: Eulers method, Improved Eulers method, and...

Q:

1. The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. Find an exponential model for these data and use the model to predict the world population in the year 2022. (1.5...

Q:

Using MATLAB ; Consider the following initial value problem (IVP) dx/dt = sin (t) + x, t elementof (0, 1], x (0) = 0. Write a function for each of the following methods with the step sizes h = 1/N, N...

Q:

Consider the initial value problem: $$ t^{3} y^{\prime \prime prime)-3 t^{2} y^{\prime \prime]+5 t y^{\prime)-6 y=t^{-1}, \quad y(2)=0, y{\prime) (2)=1, y^{\prime \prime} (2)=0 $$ The real numbers...

Q:

Can someone answer these question using MATHLAB This assignment follows the standard form for a project submission. You need to include an introduction, primary discussion, and summary. Include...

Q:

Let f(x) = log x and n N. a) Find the Taylor polynomial Pn := pnf,1. b) Prove that if x [1, 2], then c) Find an n so large that Pn approximates log x on [1, 2] to three decimal places. | log x-pn...

Q:

Teakap, inc., has current assets of $ 1,456,312 and total assets of $4,812,369 for the year ending september 30, 2006. it also has current liabilities of $1,041,012, common equity of $1,500,000, and...

Q:

The ____________ command pulls together all ipsec parts together (ACL, Peers, Transform sets, Key management used, SAs). match crypto set transform-set transform_set_name crypto map set crypto...

Q:

A particle is moving in three dimensions and its position vector is given by; r(t) = (4, 4t + 2, 3t)i + (4, 5t - 2, 3)2 + (3, 3t + 3, 1t)k where r is in meters and t is in seconds. Determine the...