Q1. Use the Laplace transform (LT) method to determine the time response of a system whose differential equation is given by d³y(t) dt3 +2- d²y(t) dt² dy(t) dr(t) +5. ·+6y(t) = 3- +r(t) dt dt Given that y(0) = 1 m, dy(0)/dt = 10 ms-¹; and d²y(0)/dt² = 0 ms¯-². The excitation r(t) = e−2t. (20)

Q1. Use the Laplace transform (LT) method to determine the time response of a system whose differential equation is given by d³y(t) dt3 +2- d²y(t) dt² dy(t) dr(t) +5. ·+6y(t) = 3- +r(t) dt dt Given that y(0) = 1 m, dy(0)/dt = 10 ms-¹; and d²y(0)/dt² = 0 ms¯-². The excitation r(t) = e−2t. (20)

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

Section11.3: Euler's Method

Problem 1YT: Use Eulers method to approximate the solution of dydtx2y2=1, with y(0)=2, for [0,1]. Use h=0.2.

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