Find the general solution of the differential equation y" + (wo)²y = cos(wt), w² ‡ (wo)². NOTE: Use C1, C2, for the constants of integration. y(t) = c₁ cos(wot) + c₂ sin(wot) t 2wo sin(wt) X

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
icon
Related questions
Question
Please do not answer in hand written
Find the general solution of the differential equation
y" + (wo)²y = cos(wt), w² ‡ (wo) ².
NOTE: Use C1, C2, for the constants of integration.
y(t): =c₁ cos(wot) + C₂ sin(wot) -
t
200
sin(wt)
X
Transcribed Image Text:Find the general solution of the differential equation y" + (wo)²y = cos(wt), w² ‡ (wo) ². NOTE: Use C1, C2, for the constants of integration. y(t): =c₁ cos(wot) + C₂ sin(wot) - t 200 sin(wt) X
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,