d^2x/dt^2 + 8dx/dt + 25x = 10u(t) please solve this de using classical method, not laplace and explain thank you

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 30RE
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d^2x/dt^2 + 8dx/dt + 25x = 10u(t)

please solve this de using classical method, not laplace and explain thank you

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