Question: Solve the following Differential equations using laplace: 1- + 4y %3D0, (0) %3D1, ' (0) 5

Solve the following Differential equations using laplace: 1-" + 4y %3D0, (0)

Solve the following Differential equations using laplace: 1-" + 4y %3D0, (0) %3D1, ' (0) 5

Step by Step Solution

★★★★★

3.35 Rating (161 Votes )

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:

Solve the following differential equations using Laplacetransforms. dx(t) + 4x(t) = e", x(0) = 1 |(a) dt dx(t) (b) + 6x(t) = 4u(t), x(0) = 2 %3D dt

Q:

Using the Laplace transform, solve the following differential equation for Subject to i(0) = 0,i(0) = 2 . di di

Q:

Solve the following differential equations subject to the specified initial conditions (a) d2v / dt2 + 4v = 12, v(0) = 0, dv(0) / dt = 2 (b) d2i / dt2 + 5 di / dt + 4i = 8, i(0) = -1, di(0) / dt = 0...

Q:

Solve the following differential equations using Laplace transform A d2y (t)/dt2 + 2dy(t)dt +y (t) =e-2t, y (0) = y t (0) = 0 A d2y (t)/dt2 + 4dy (t)/dt) +4y (t) =u(t), y (0) 0;y (0) = 1

Q:

Use Laplace transforms to solve the following differential equations 4 y 5y 4y et sinht with y 0 1 y 0 0 Show the full explanation for this problem

Q:

Find the complete time-domain solutions for the following differential equations using Laplace transforms: (d) A process is described by two differential equations If x 1 = e ?t and x 2 = 0, what can...

Q:

Solve the following differential equations using classical methods. Assume zero initial conditions. a. dx/dt + 7x = 5 cos 2t b. d 2 x/dt 2 + 6dx/dt + 8x = 5 sin 3t c. d 2 x/dt 2 + 8dx/dt + 25x =...

Q:

Solve the following differential equations using classical methods and the given initial conditions: a. b. c. dx dx +2 + - 2x = sin2t dr dt dx x(0) = 2; 7(0) = - dt

Q:

Repeat Problem 20 in Chapter 1, using Laplace transforms. Assume that the forcing functions are zero prior to t = 0-. Data From Problem 20 in Chapter 1: Solve the following differential equations...

Q:

Repeat Problem 21 in Chapter 1, using Laplace transforms. Use the following initial conditions for each part as follows: (a) x (0) = 4; x(0) = -4; (b) x(0) = 4; x(0) = 1; (c) x(0) = 2; x(0) = 3,...

Q:

It's been one year since you launched your new organic and vegan chocolate bar, and you see sales are starting to decline. To increase retail sales, you believe that you need a couple of sales...

Q:

Calculate the random access memory (RAM) in megabytes necessary to store a multidimensional array that is 20 x 40 x 120.This array is double precision, and each value requires a 64-bit word. Recall...

Q:

Model decision guide to evaluate investments with different levels of risk

Q:

A crate, in the form of a cube with edge lengths of 1.2 m, contains a piece of machinery; the center of mass of the crate and its contents is located 0.30 m above the crate's geometrical center. The...

Q:

For the stepladder shown in Figure sides AC and CE are each 2.44 m long and hinged at C. Bar BD is a tie-rod 0.762 m long, halfway up. A man weighing 854 N climbs 1.80 m along the ladder. Assuming...

Q:

Figure shows a horizontal uniform beam of mass m6 and length L that is supported on the left by a hinge attached to a wall and on the right by a cable at angle with the horizontal A package of mass...

Q:

Because of wearing at the edges, the pivot bearing is subjected to a conical pressure distribution at its surface of contact. Determine the torque M required to overcome friction and turn the shaft,...

Q:

An uncharged conducting sphere of radius a is coated with a thick insulating shell (dielectric constant r) out to radius b. This object is now placed in an otherwise uniform electric field E0. Find...

Q:

Hw4. Question 2. Written format if can. Thanks 2. A dispatcher for Citywide Taxi Company has six taxicabs at different locations and five customers who have called for service. The mileage from each...

Q:

[ 0 / 2 5 Points ] MCQPCHEM 1 2 . P . 0 0 4 . DV . This question has several parts that must be completed sequentially. Derivation Solve the following differential equations. ( a ) at t = 0 ( b ) at...

Q:

Method of Undetermined Coefficients. Please help me to solve exercise a,b,c and d. METHOD OF UNDETERMINED COFFFICIENTS a day + b dy + cy = f (x ) dxa dx The solution obtained from this method is...

Q:

Show solution. Please write the solution neatly on a clean paper (white paper). Please also make sure that it is readable. Please make it handwritten and box the final answer. Thank you. Assignment 7...

Q:

Q 1 . For each of the following ODEs below, ( a ) Verify that y is a solution of the ODE. ( b ) Determine from y the particular solution of the IVP. ( c ) Graph the solution of the IVP. ( i ) y ' + 4...

Q:

Solve the following differential equations with the given initial conditions. dy dt t + 1 ty , t > 0, y(1) = 3

Q:

2. 5 marks] Solve the following differential equations. sin(2y)dx + (2x cos(2y) - y')dy = 0 2. [5 marks] Solve the following differential equations. sin(2y)dx + (2m cos(2y) y2)dy = O;