This is a practice question from my Differential Equations course.How’d they get from the given to the answer? Textbook is very unclear; so I’m hoping for more detail and less skipping of steps…Thank you for your assistance in understanding this. Express the solution of the given initial value problem as a sum of twooscillations, as in Eq. (8). Equation 8 is:x (t) = C cos(wot - a) +Fo/mw² - w²The answer is supposed to be:x(t) = (xocos wt,The given equation, with initial conditions is:mx" + kx = Fo cos wt, with w ‡ wo; x(0) = x₁, x' (0) = 0(xo C) cos wot + C cos wt, where CFo/(k - mw²)(8)

The general solutio of linear differential equation is the sum of complementary solution and…

Express the solution of the given ini value problem as a sum of two oscillations, as in Eq. (8). Equation 8 is: x(t) = C cos(wot - α) + Fo/m w² - w² The answer is supposed to be: Cos wt, The given equation, with initial conditions is: mx" + kx = Fo cos wt, with w = w₁; x(0) = x₁, x' (0) = 0 (8)

Express the solution of the given ini value problem as a sum of two oscillations, as in Eq. (8). Equation 8 is: x(t) = C cos(wot - α) + Fo/m w² - w² The answer is supposed to be: Cos wt, The given equation, with initial conditions is: mx" + kx = Fo cos wt, with w = w₁; x(0) = x₁, x' (0) = 0 (8)

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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