Question

ODE: 4. Consider u" + u = 0 , with boundary conditions u(0)= u(L)=0 where L...

ODE: 4. Consider u" + u = 0 , with boundary conditions u(0)= u(L)=0 where L is fixed positive constant. So, u=0 is a sol.

a. Is this sol unique and

b. to what extend does uniqueness depend on the value of L.

Give convincing reasons or proof for your answers.

SUBJECT: ORDINARY DIFFERENTIAL EQUATION AND PARTIAL DIFFERENTIAL EQUATIONS

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

I have solved the differential equation and observed that if

then the solution u=0 is not unique but if

then the solution u=0 is unique.

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
DE: 4. Consider u" + u = 0 , with boundary conditions u(0)= u(L)=0 where L...
DE: 4. Consider u" + u = 0 , with boundary conditions u(0)= u(L)=0 where L is fixed positive constant. So, u=0 is a sol. a. Is this sol unique and b. to what extend does uniqueness depend on the value of L. Give convincing reasons or proof for your answers. Please, is there any chance to make it a little bit clearer, Thank you. SUBJECT: ORDINARY DIFFERENTIAL EQUATION AND PARTIAL DIFFERENTIAL EQUATIONS
A Non-Constant Coefficient ODE: Solve the non-constant coefficient ordinary differential equation given below: ?2?2???2−34?=0, subject to...
A Non-Constant Coefficient ODE: Solve the non-constant coefficient ordinary differential equation given below: ?2?2???2−34?=0, subject to the boundary conditions (not initial conditions) ?(0)=0,?(1)=1. After solving, answer the following questions: i) Is x = 0 in the ODE a) an anomalous singular point, b) an irregular singular point, c) a regulous singularious point. d) a regular singular point? ii) If the coefficient “x2” were replaced with “x3/2” which solution series below would you use? a) ?=Σ????∞?=0, b) ?=Σ??+???+?∞?=0, s a constant,...
solve the differential equation: (d2y/dx2) + (P/EI)*y = -(Pe/EI) given boundary conditions: y(0)=y(L)=0 this is all...
solve the differential equation: (d2y/dx2) + (P/EI)*y = -(Pe/EI) given boundary conditions: y(0)=y(L)=0 this is all the given information. You didn't post a solution
Consider the differential equation y′′(t)+4y′(t)+5y(t)=74exp(−8t), with initial conditions y(0)=12, and y′(0)=−44. A)Find the Laplace transform of...
Consider the differential equation y′′(t)+4y′(t)+5y(t)=74exp(−8t), with initial conditions y(0)=12, and y′(0)=−44. A)Find the Laplace transform of the solution Y(s).Y(s). Write the solution as a single fraction in s. Y(s)= ______________ B) Find the partial fraction decomposition of Y(s). Enter all factors as first order terms in s, that is, all terms should be of the form (c/(s-p)), where c is a constant and the root p is a constant. Both c and p may be complex. Y(s)= ____ + ______...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT