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(с) 4у" + у %3D 4 sin(3x/2), for 0

(с) 4у" + у %3D 4 sin(3x/2), for 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Just complete part C. Thanks

4. Two-Point Boundary Value Problem (BVP). The existence and uniqueness of solutions for boundary value problems is not as straightforward as for initial value problems. Recall that a constant coefficient, linear IVP has a unique solution for any choice of initial conditions. However, a constant coefficient, linear two-point BVP might have a unique solution; it might have no solution; or it might have infinitely many solutions. Find all solutions to the following boundary value problems. (а) 4у" + у %3D0, for 0 < x < л У (0) %3 0, у'(л) %3D 0 (b) 4у" + у %3Dcos(x), for 0 <x <л, у (0) %3D 0, у'(л) %3D0 (с) 4у" + у %3D4 sin(3x/2), for () <x < л, у (0) %3 0, у'(л) %3D0
Transcribed Image Text:4. Two-Point Boundary Value Problem (BVP). The existence and uniqueness of solutions for boundary value problems is not as straightforward as for initial value problems. Recall that a constant coefficient, linear IVP has a unique solution for any choice of initial conditions. However, a constant coefficient, linear two-point BVP might have a unique solution; it might have no solution; or it might have infinitely many solutions. Find all solutions to the following boundary value problems. (а) 4у" + у %3D0, for 0 < x < л У (0) %3 0, у'(л) %3D 0 (b) 4у" + у %3Dcos(x), for 0 <x <л, у (0) %3D 0, у'(л) %3D0 (с) 4у" + у %3D4 sin(3x/2), for () <x < л, у (0) %3 0, у'(л) %3D0
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