the system of linear differential equations for two real valued functions x(t) and y(t): Sx'(t) = -3x(t) – (t) ly'(t) = x(t) – y(t) x(t (a) Write the above system in matrix form X'(t) = AX(t), where X(t): y(t) (b) Solve your system from part (a) to find two linearly independent vector solutions, p1(t) and 22(t).

the system of linear differential equations for two real valued functions x(t) and y(t): Sx'(t) = -3x(t) – (t) ly'(t) = x(t) – y(t) x(t (a) Write the above system in matrix form X'(t) = AX(t), where X(t): y(t) (b) Solve your system from part (a) to find two linearly independent vector solutions, p1(t) and 22(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

2. Consider the system of linear differential equations for two real valued functions x(t)
and y(t):
Sx'(t) = -3x(t) – y(t)
ly'(t) = x(t) – y(t)
x(t)
(a) Write the above system in matrix form X'(t) = AX (t), where X(t) =
(b) Solve your system from part (a) to find two linearly independent vector solutions, p1(t) and
P2(t).

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