3. (a) Find the eigenvalues and eigenfunctions of the boundary-value problem x2y'' + xy' + (lamda)y = 0, y(1) = 0, y(5) = 0 (b) Put the differential equation in self-adjoint form. (c) Give an orthogonality relation.

3. (a) Find the eigenvalues and eigenfunctions of the boundary-value problem x2y'' + xy' + (lamda)y = 0, y(1) = 0, y(5) = 0 (b) Put the differential equation in self-adjoint form. (c) Give an orthogonality relation.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 12CR

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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3. (a) Find the eigenvalues and eigenfunctions of the boundary-value problem

x²y'' + xy' + (lamda)y = 0, y(1) = 0, y(5) = 0

(b) Put the differential equation in self-adjoint form.

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