b) An undamped oscillation under the influence of external: by UTM UTMUTM U m + kr dt2 where r(t) is the displacement at time t. Suppose a spring has mass m %3D UTMSUTM F) UTMU and spring constant k and let w F(t) = Focos (wot), where we # w. What type of value k and m so that the corresponding homogeneous solution is UTM UT with external force UTMUTM I(t) = A cos(wt) + B sin(wt)? Hence, by using the method of undetermined coefficients, show that UTM z(t) = A cos(wt) + B sin(wt) + UTM SUTM UTM UTM Fo TMUT UTMUTM m{w - -cos (t). aUTM UTMU UTM UT
b) An undamped oscillation under the influence of external: by UTM UTMUTM U m + kr dt2 where r(t) is the displacement at time t. Suppose a spring has mass m %3D UTMSUTM F) UTMU and spring constant k and let w F(t) = Focos (wot), where we # w. What type of value k and m so that the corresponding homogeneous solution is UTM UT with external force UTMUTM I(t) = A cos(wt) + B sin(wt)? Hence, by using the method of undetermined coefficients, show that UTM z(t) = A cos(wt) + B sin(wt) + UTM SUTM UTM UTM Fo TMUT UTMUTM m{w - -cos (t). aUTM UTMU UTM UT
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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