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For the differential equation x" + 4x = 0, find the solution to the IVP if the two-parameter family of solutions and the initial conditions are as follows: x = C₁ cos(2t) + C₂ sin(2t) x(0) = 4, x'(0) = 4

For the differential equation x" + 4x = 0, find the solution to the IVP if the two-parameter family of solutions and the initial conditions are as follows: x = C₁ cos(2t) + C₂ sin(2t) x(0) = 4, x'(0) = 4

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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For the differential equation x" + 4x = 0, find the solution to the IVP if the two-parameter family of solutions and the initial conditions are as follows: x = C₁ cos(2t) + C₂ sin(2t) x(0) = 4, x'(0) = 4
Transcribed Image Text:For the differential equation x" + 4x = 0, find the solution to the IVP if the two-parameter family of solutions and the initial conditions are as follows: x = C₁ cos(2t) + C₂ sin(2t) x(0) = 4, x'(0) = 4
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