Differential Equations Lecture Work Solutions 131

Differential Equations Lecture Work Solutions 131 - 5 5.1...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
5 Separation of Variables-Nonhomogeneous Problems 5.1 Inhomogeneous Boundary Conditions Problems 1. For each of the following problems obtain the function w ( x, t ) that satisfies the boundary conditions and obtain the PDE a. u t ( x, t ) = ku xx ( x, t ) + x, 0 < x < L u x (0 , t ) = 1 , u ( L, t ) = t. b. u t ( x, t ) = ku xx ( x, t ) + x, 0 < x < L u (0 , t ) = 1 , u x ( L, t ) = 1 . c. u t ( x, t ) = ku xx ( x, t ) + x, 0 < x < L u x (0 , t ) = t, u
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern