4. A dynamic system is represented by a second order linear differential equation.d?xdx+5-dt2-3xdt2The initial conditions are given as:dxwhen t = 0, x = 4 and9.dtSolve the differential equation and obtain the output of the system x(t) as a function of t.

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4. A dynamic system is represented by a second order linear differential equation. d²x dx + 5- 3x = 0 dt2 dt The initial conditions are given as: dx when t = 0, x = 4 and dt = 9. %3D Solve the differential equation and obtain the output of the system x(t) as a function of t.

4. A dynamic system is represented by a second order linear differential equation. d²x dx + 5- 3x = 0 dt2 dt The initial conditions are given as: dx when t = 0, x = 4 and dt = 9. %3D Solve the differential equation and obtain the output of the system x(t) as a function of t.

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

4. A dynamic system is represented by a second order linear differential equation.
d?x
dx
+5-
dt
2-
3x
dt2
The initial conditions are given as:
dx
when t = 0, x = 4 and
9.
dt
Solve the differential equation and obtain the output of the system x(t) as a function of t.

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