Question

Find the Laplace transform Y(s)=L{y} of the solution of the given initial value problem. A. y′′+16y...

Find the Laplace transform Y(s)=L{y} of the solution of the given initial value problem.

A. y′′+16y = {1, 0 ≤ t < π

= {0, π ≤ t < ∞, y(0)=3, y′(0)=5

B. y′′ + 4y = { t, 0 ≤ t < 1

= {1, 1 ≤ t < ∞, y(0)=3, y′(0)=3

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use the Laplace transform to solve the following initial value problem: y′′ + 8y ′+ 16y...
Use the Laplace transform to solve the following initial value problem: y′′ + 8y ′+ 16y = 0 y(0) = −3 , y′(0) = −3 First, using Y for the Laplace transform of y(t)y, i.e., Y=L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation __________________________ = 0 Now solve for Y(s) = ______________________________ and write the above answer in its partial fraction decomposition, Y(s) = A / (s+a) + B / ((s+a)^2) Y(s) =...
Find the Laplace transform Y(s)=L{y} of the solution of the given initial value problem. y′′+9y={t, 0≤t<1...
Find the Laplace transform Y(s)=L{y} of the solution of the given initial value problem. y′′+9y={t, 0≤t<1 1, 1≤t<∞, y(0)=3, y′(0)=4 Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n). Y(s)=
transform the given initial value problem into an algebraic equation for Y = L{y} in the...
transform the given initial value problem into an algebraic equation for Y = L{y} in the s-domain. Then find the Laplace transform of the solution of the initial value problem. y'' + 4y = 3e^(−2t) * sin 2t, y(0) = 2, y′(0) = −1
Use the Laplace transform to solve the given initial-value problem. y'' + y = f(t), y(0)...
Use the Laplace transform to solve the given initial-value problem. y'' + y = f(t), y(0) = 0, y'(0) = 1, where f(t) = 0, 0 ≤ t < π 5, π ≤ t < 2π 0, t ≥ 2π
transform the given initial value problem into an algebraic equation for Y=L{y}Y=L{y} in the ss-domain. Then...
transform the given initial value problem into an algebraic equation for Y=L{y}Y=L{y} in the ss-domain. Then find the Laplace transform of the solution of the initial value problem. y′′+2y′−2y=0 y(0)=2, y′(0)=1
Use the Laplace transform to solve the given initial-value problem. y'' + 6y' + 34y =...
Use the Laplace transform to solve the given initial-value problem. y'' + 6y' + 34y = δ(t − π) + δ(t − 7π),    y(0) = 1,  y'(0) = 0
Use the Laplace transform to solve the given initial-value problem. y'' + 10y' + 41y =...
Use the Laplace transform to solve the given initial-value problem. y'' + 10y' + 41y = δ(t − π) + δ(t − 7π),    y(0) = 1,  y'(0) = 0
transform the given initial value problem into an algebraic equation for Y=L{y}Y=L{y} in the ss-domain. Then...
transform the given initial value problem into an algebraic equation for Y=L{y}Y=L{y} in the ss-domain. Then find the Laplace transform of the solution of the initial value problem. y′′′+y′′+y′+y=0 y(0)=4 y′(0)=0 ,y′′(0)=−2
Solve for​ Y(s), the Laplace transform of the solution​ y(t) to the initial value problem below....
Solve for​ Y(s), the Laplace transform of the solution​ y(t) to the initial value problem below. y''-9y'+18y=5te^(3t), y(0)=2, y'(0)=-4
Use the Laplace transform to solve the following initial value problem y”+4y=cos(8t) y(0)=0, y’(0)=0 First, use...
Use the Laplace transform to solve the following initial value problem y”+4y=cos(8t) y(0)=0, y’(0)=0 First, use Y for the Laplace transform of y(t) find the equation you get by taking the Laplace transform of the differential equation and solving for Y: Y(s)=? Find the partial fraction decomposition of Y(t) and its inverse Laplace transform to find the solution of the IVP: y(t)=?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT