8)please solve the following[ordinary differential equations; topic] Please solve the following problem Provide a well explained and understandable(readable) Step by step solution solution x" +6x' +8x = 2 cos(2t) + 4 s in(2t), x(0) =2,x'(0) = 5Solve the above IVP and then find x(0.25).Put x(0.25) accurately calculated to the nearest thousandth (3 decimal places).Notation:d?xdxand xdtx" =and x' =.2x(t)

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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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please solve the following

[ordinary differential equations; topic] Please solve the following problem Provide a well explained and understandable(readable) Step by step solution solution

x" +6x' +8x = 2 cos(2t) + 4 s in(2t), x(0) =2,
x'(0) = 5
Solve the above IVP and then find x(0.25).
Put x(0.25) accurately calculated to the nearest thousandth (3 decimal places).
Notation:
d?x
dx
and x
dt
x" =
and x' =
.2
x(t)

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