em2sp13se2

Dx l f x dx 3 where f x is as in problem c show that

• Notes
• 3

This preview shows page 2 - 3 out of 3 pages.

) dx = L 0 f ( x ) dx,

Subscribe to view the full document.

3 where f ( x ) is as in Problem C. Show that if u solves Problem C , then v ( x, t ) = u ( x, t ) - u ( x ) solves v t ( x, t ) = kv xx ( x, t ) , 0 < x < L, t > 0 , v x (0 , t ) = 0 , v x ( L, t ) = 0 , t > 0 , v ( x, 0) = f ( x ) - u ( x ) , 0 < x < L, and use this to explain (prove?) that lim t →∞ u ( x, t ) = u ( x ). (d) Calculus question: In equation (1), on the left hand side the derivative is denoted by d dt , on the right hand side by ∂t . Why the change in notation?
• Spring '13
• Schonbek
• Partial differential equation, ICBC, ICBC problem

{[ snackBarMessage ]}

"Before using Course Hero my grade was at 78%. By the end of the semester my grade was at 90%. I could not have done it without all the class material I found."
— Christopher R., University of Rhode Island '15, Course Hero Intern

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern