Question

Find the Green's function for each of the following problem, and determine the solution of each...

Find the Green's function for each of the following problem, and determine
the solution of each of the following boundary-value problem:
y" + 4y = e^x
y(0) = 0
y'(1) = 0

Math   Advanced-Math   
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
Find the green's function then find the solution y"+4y=x y(0)=0, y'(1)=0
Find the green's function then find the solution y"+4y=x y(0)=0, y'(1)=0
obtain the green's function for the boundary value problem y''+y = f(x), y(0)=y(1)=0
obtain the green's function for the boundary value problem y''+y = f(x), y(0)=y(1)=0
1- Find the solution of the following equations. For each equation, 2- determine the type of...
1- Find the solution of the following equations. For each equation, 2- determine the type of the category that the equation belongs to. 1. x(1 − y^2 )dx + y(8 − x^2 )dy = 0 2. (x^2 − x + y^2 )dx − (e^y − 2xy)dy = 0
Solve the given initial-value problem in which the input function g(x) is discontinuous. [Hint: Solve the...
Solve the given initial-value problem in which the input function g(x) is discontinuous. [Hint: Solve the problem on two intervals, and then find a solution so that y and y' are continuous at x = π/2.] y'' + 4y = g(x),   y(0) = 1, y'(0) = 3,   where g(x) = sin(x),    0 ≤ x ≤ π/2 0,    x > π/2 Find y(x) for each of the intervals.   ,    0 ≤ x ≤ π/2   ,    x > π/2
Find the solution to the initial-value problem: y''+4y=2sin(2x), y(0)=1, y'(0)=0
Find the solution to the initial-value problem: y''+4y=2sin(2x), y(0)=1, y'(0)=0
1- Find the solution of the following equations. For each equation, 2- determine the type of...
1- Find the solution of the following equations. For each equation, 2- determine the type of the category that the equation belongs to. 1. y/x cos y/x dx − ( x/y sin y/x + cos y/x ) dy = 0 2. x(1 − y^2 )dx + y(8 − x^2 )dy = 0 3. (x^2 − x + y^2 )dx − (e^y − 2xy)dy = 0 4. 2x sin 3ydx + 3x^2 cos 3ydy = 0 5. (x ln x −...
(a) Solve the differential equations. 4y´´ + 12y´ + 9y= 0 (b) Find the general solution...
(a) Solve the differential equations. 4y´´ + 12y´ + 9y= 0 (b) Find the general solution of the ODE y´´- 5y´+4y=e^4t (c) Solve the following initial value problem: y´´+ y =0, y(0)=2, y´(0)=2
[Cauchy-Euler equations] For the following equations with the unknown function y = y(x), find the general...
[Cauchy-Euler equations] For the following equations with the unknown function y = y(x), find the general solution by changing the independent variable x to et and re-writing the equation with the new unknown function v(t) = y(et). x2y′′ +xy′ +y=0 x2y′′ +xy′ +4y=0 x2y′′ +xy′ −4y=0 x2y′′ −4xy′ −6y=0 x2y′′ +5xy′ +4y=0.
Verify that the given function is a solution and use Reduction of Order to find a...
Verify that the given function is a solution and use Reduction of Order to find a second linearly independent solution. a. x2y′′ −2xy′ −4y = 0, y1(x) = x4. b. xy′′ − y′ + 4x3y = 0, y1(x) = sin(x2).
3) (A theoretical problem) Find the exact solution of the two-point boundary-value problem x''=f(t), x(0)=x(1)=0
3) (A theoretical problem) Find the exact solution of the two-point boundary-value problem x''=f(t), x(0)=x(1)=0
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT