3. Given the differential equation y" – 4y' + 8 = 0 (a) The auxiliary equation is (b) The general solution is (c) Find a solution that also satisfies the initial conditions y(0) = 1, y'" (0) = -1.
3. Given the differential equation y" – 4y' + 8 = 0 (a) The auxiliary equation is (b) The general solution is (c) Find a solution that also satisfies the initial conditions y(0) = 1, y'" (0) = -1.
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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Transcribed Image Text:3. Given the differential equation y" – 4y' + 8 = 0
(a) The auxiliary equation is
(b) The general solution is
(c) Find a solution that also satisfies the initial conditions y(O) = 1, y' (O) = 1.
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