TM BUT QUESTIONTM UTM 30 & 2 MARKS) a) Solve the following differential equation UTM UTM TM UTM TM UTM d'y da TM UTM UTM

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Tm But Questiontm Utm 30 2 Marks A Solve The Following Differential Equation Utm Utm Tm Utm Tm Utm D Y Da Tm Utm Utm 1 (96.6 KiB) Viewed 32 times

TM BUT QUESTIONTM UTM 30 & 2 MARKS) a) Solve the following differential equation UTM UTM TM UTM TM UTM d'y da TM UTM UTM & UTM 8 UTM by using the method of undetermined coefficients. UTM &UTM & Ud = d'y -8 +16y=9e² dr² UTM UTM&UTM b) An undamped oscillation under the influence of external force is given by TM U UTM U UTMUTM 60 10TM d'a 772- +kx = F(t), dt² UTM SUT Fo m(w² - wf) AUTM UT (7 marks) UT k = where r(t) is the displacement at time t. Suppose a spring has mass m with external force and spring constant k and let wi V m F(t) Focos (wot), where wow. What type of value k and m so that the corresponding homogeneous solution is Th(t)= Acos(wt) + Bsin(wt)? Hence, by using the method of undetermined coefficients, show that r(t)= Acos(wt) + Bsin(wt) + cos (wat). UTM UT (8 marks)