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In Problems 9 -12 , use Lyapunov’s direct method to determine the stability for the origin of the given system.
[Hint: Try
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Fundamentals of Differential Equations and Boundary Value Problems
- Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the system have exactly one solution?arrow_forward4. Solve the following linear systems, and draw the row and column pictures cor- responding to each system. (See Section 4.1 of the textbook for a reminder of what "row picture" and "column picture" mean.) (a) (b) x - 3y = 2 3x + 2y = 4 2x - y = -1 4x + 3y = 2arrow_forwardIf eliminate the dependent variable y from followingthe original system, then what system will we get? L1x + L2y = f1(t),L3x + L4y = f2(t),arrow_forward
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