Question

Use the Laplace transform to solve the following initial value problem, y′′ − 8y′ − 9y  ...

Use the Laplace transform to solve the following initial value problem,

y′′ − 8y′ − 9y  =  δ(t − 2),y(0)  =  0,  y(0)  =  0.

The solution is of the form ?[g(t)] h(t).
(a) Enter the function g(t) into the answer box below.
(b) Enter the function h(t) into the answer box below.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Problem #16: Use the Laplace transform to solve the following initial value problem, y′′ − 5y′...
Problem #16: Use the Laplace transform to solve the following initial value problem, y′′ − 5y′ − 36y  =  δ(t − 8),y(0)  =  0,  y′(0)  =  0. The solution is of the form ?[g(t)] h(t). (a) Enter the function g(t) into the answer box below. (b) Enter the function h(t) into the answer box below.
Use the Laplace transform to solve the following initial value problem, y′′ − 5y′ − 36y  ...
Use the Laplace transform to solve the following initial value problem, y′′ − 5y′ − 36y  =  δ(t − 8),y(0)  =  0,  y′(0)  =  0. The solution is of the form ?[g(t)] h(t). (a) Enter the function g(t) into the answer box below. (b) Enter the function h(t) into the answer box below.
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) =...
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”+8y’+25y=&(t-8) y(0)=0 y’(0)=0 use step...
use the Laplace transform to solve the following initial value problem y”+8y’+25y=&(t-8) y(0)=0 y’(0)=0 use step (t-c) for uc(t)
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
Use the Laplace transform to solve the given initial-value problem. y'' + y = δ(t −...
Use the Laplace transform to solve the given initial-value problem. y'' + y = δ(t − 8π), y(0) = 0, y'(0) = 1
Consider the following initial value problem. y′ + 5y  = { 0 t  ≤  2 10...
Consider the following initial value problem. y′ + 5y  = { 0 t  ≤  2 10 2  ≤  t  <  7 0 7  ≤  t  <  ∞ y(0)  =  5 (a) Find the Laplace transform of the right hand side of the above differential equation. (b) Let y(t) denote the solution to the above differential equation, and let Y((s) denote the Laplace transform of y(t). Find Y(s). (c) By taking the inverse Laplace transform of your answer to (b), the...
How to use laplace transform to solve the following problem ? y'' - 10y' +9y =...
How to use laplace transform to solve the following problem ? y'' - 10y' +9y = 5t , given y(0)=-1, y'(0)=2