c)[ordinary differential equations; topic] Please solve the following problem Provide a well explained and understandable(readable) Step by step solution solution x" + 4x' + 3x = 30 cos(3t),x(0) = 1, x'(0) = 2Solve the above IVP and then find x(0.25).Put x(0.25) accurately calculated to the nearest thousandth (3 decimal places).Notation:d²xand x' =dt?dxand x = x(t)dt

Given: x'' + 4x' + 3x = 30cos(3t), x(0) = 1, x'(0) = 2.

Answered: x" + 4x'+ 3x = 30 cos(3t), x(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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[ordinary differential equations; topic] Please solve the following problem Provide a well explained and understandable(readable) Step by step solution solution

x" + 4x' + 3x = 30 cos(3t),
x(0) = 1, x'(0) = 2
Solve the above IVP and then find x(0.25).
Put x(0.25) accurately calculated to the nearest thousandth (3 decimal places).
Notation:
d²x
and x' =
dt?
dx
and x = x(t)
dt

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