Question

Consider the initial value problem 2y′′+11y′+5y=aδ(t−1), y(0)=y′(0)=0 , where δ denotes the impulse function. Suppose that...

Consider the initial value problem 2y′′+11y′+5y=aδ(t−1), y(0)=y′(0)=0 , where δ denotes the impulse function. Suppose that the solution of this initial value problem satisfies y(3)=(e^9−1)/e^10. Find the value of a.

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
Solve the initial value problem: y′′−2y′+11y=0y″−2y′+11y=0, y(0)=3y(0)=3, y′(0)=−3.y′(0)=−3.Give your answer as y=... y=... . Use xx...
Solve the initial value problem: y′′−2y′+11y=0y″−2y′+11y=0, y(0)=3y(0)=3, y′(0)=−3.y′(0)=−3.Give your answer as y=... y=... . Use xx as the independent variable.
solve the initial value problem y''-2y'+5y=u(t-2) y(0)=0 y'(0)=0
solve the initial value problem y''-2y'+5y=u(t-2) y(0)=0 y'(0)=0
Use Laplace transforms to solve the given initial value problem. y"-2y'+5y=1+t y(0)=0 y’(0)=4
Use Laplace transforms to solve the given initial value problem. y"-2y'+5y=1+t y(0)=0 y’(0)=4
Find the solution of the initial value problem y′′+2y′+5y=16e^−tcos(2t), y(0)=6, y′(0)=0
Find the solution of the initial value problem y′′+2y′+5y=16e^−tcos(2t), y(0)=6, y′(0)=0
Use the Laplace transform to solve the following IVP y′′ +2y′ +2y=δ(t−5) ,y(0)=1,y′(0)=2, where δ(t) is...
Use the Laplace transform to solve the following IVP y′′ +2y′ +2y=δ(t−5) ,y(0)=1,y′(0)=2, where δ(t) is the Dirac delta function.
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...
6.                  Consider the initial value problem                   &
6.                  Consider the initial value problem                                            y'’ + 2y’ + 2y = δ(t − π);           y(0) = 0, y’(0) = 1. a.    Find the solution to the initial value problem. b.    Sketch a plot of the solution for t ∈ [0,3π]. c.    Describe the behavior of the solution. How is this system damped?
Find y(t) solution of the initial value problem 3ty^2y'-6y^3-4t^2=0, y(1)=1, t>0
Find y(t) solution of the initial value problem 3ty^2y'-6y^3-4t^2=0, y(1)=1, t>0
For 2y' = -tan(t)(y^2-1) find general solution (solve for y(t)) and solve initial value problem y(0)...
For 2y' = -tan(t)(y^2-1) find general solution (solve for y(t)) and solve initial value problem y(0) = -1/3
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT