(4) Solve the following Boundary Value Problems (and calculate D the correct number of solutions): (a) r(0) + r'(0) = 8, (b) r(0) + r'(0) = 8, (c) r(0) + r'(0) = 8, x" + 4x = 3 sint (T) + '(T) = 6 (T) +1'() = 8 (T) + 2x' (T) = 11

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(4) Solve the following Boundary Value Problems (and calculate D to verify
the correct number of solutions):
(a) x(0) + r'(0) = 8,
x" + 4x = 3 sint
(T) + x'(T) = 6
(b) r(0) + r'(0) = 8,
(T) + x'(T) = 8
(c) x(0) + x'(0) = 8, x(x) + 2x' (n) = 11
(5) Solve the following Boundary Value Problems (and calculate D to verify
the correct number of solutions):
x" - x = 6et
(a) x(0) + x'(0) = 5, x(1) + x'(1) = 10e
(b) x(0) + x'(0) = 5, x(1) + x'(1) = 11e
(c) x(0) + r'(0) = 5, x(1) - x'(1) = e
Transcribed Image Text:(4) Solve the following Boundary Value Problems (and calculate D to verify the correct number of solutions): (a) x(0) + r'(0) = 8, x" + 4x = 3 sint (T) + x'(T) = 6 (b) r(0) + r'(0) = 8, (T) + x'(T) = 8 (c) x(0) + x'(0) = 8, x(x) + 2x' (n) = 11 (5) Solve the following Boundary Value Problems (and calculate D to verify the correct number of solutions): x" - x = 6et (a) x(0) + x'(0) = 5, x(1) + x'(1) = 10e (b) x(0) + x'(0) = 5, x(1) + x'(1) = 11e (c) x(0) + r'(0) = 5, x(1) - x'(1) = e
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