Question: (1 point) Consider the following initial value problem: y - 4y' - 45y = sin(3t) y(0) = 1, y'(0) = -1 Using Y for the

(1 point) Consider the following initial value problem: y" - 4y' - 45y = sin(3t) y(0) = 1, y'(0) = -1 Using Y for the Laplace transform of y(t), i.e., Y = Cty(t)} find the equation you get by taking the Laplace transform of the differential equation enter it here: = 3/(5*2+3^2) and then solve for Y(s) = note, you are not solving for 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!

At least one of the answers above is NOT correct 2 of the questions remain unanswered (1 point) Consider the following initial value problem, in which an input of large amplitude and short duration...

Please need an answer asap Use the Laplace transform to solve the following initial value problem: y' + 4y = cos(5t) y(0) = 0, y(0) =0 First, using Y for the Laplace transform of y(t), i.e., Y =...

Please need an answer asap Consider the following initial value problem: 8, 0 9 y(0) = 2, y (0) = 0 First find the unit-step representation of the forcing function, i.e. the right side of the...

Consider the following initial value problem y(t) = [-3/2 1/2 1/2 -3/2] y(t) + [0 h(t - 1)], y(0) = [1 0], where y(t) = [y_1(t) y_2(t)], where h(middot) denotes the Heaviside step function. (a)...

Please solve using Matlab Part A is solved analytic solution by hand Part b Matlab Code Please explain what the code does with comments where neccessary Note: Uses of Matlab built-in functions for...

Please need an answer asap Use the Laplace transform to solve the following initial value problem: 1/' - 47 + 4y = 0 3/(0) = -2, 1/(0) = 3 a. Using Y for the Laplace transform of y(t), i.e., Y =...

Please need an answer asap Use the Laplace transform to solve the following initial value problem: 3 - 4y' + 20y = 0 y(0) = 0, y (0) = 4 a. Using Y for the Laplace transform of y(t), i.e., Y =...

Problem 11. (15 points) Use the Laplace transform to solve the following initial value problem: y" + 4y = cos(3t) dit on thin neblom. y(0) 0, / (0) = 0 First, using Y for the Laplace transform of...

0 t

WHETHER TO DISCONTINUE A DEPARTMENT Mueller and Kenington Company is trying to decide whether to discontinue department A. Operating results for the year just ended for each of the company's three...

Briefly discuss how each of the (four) JRA elements implemented by MD DPP benefits and works toward the goals of corrections fair punishment and protection of the community. Please be specific in...

Pace the following in the correct sequence in which they are encountered in the shade avidance response: I phytochrome II . internode clongation ni . low REFR N . aumin LIEMN miN: . . . N . ! LIM.EN

The returns on shares of Valley Transporter are predicted under the following various economic conditions: Recession -0.10 Normal + 0.07 Boom + 0.24 If each economy state has the same probability of...