Find phase portraits for the systems in Problems 2 and 4. For each system find any half-line trajectories and include these lines in your phase portrait.
2.
4.
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FIRST COURSE IN DIFF. EQUAT. W/WEBASSIG
- Ex. 625. The sum of two numbers is 63 and their difference is 36. What are the two numbers (smaller, larger)? Use linear algebra techniques to solve the two simultaneous linear equations. Focus on the linear algebra technique. ans:2 Ex. 630. Refer to Fig. 630. Let n=84 Assign phase variables: x1=y and x2=x1dot. Determine the state variable equations. Answers: a11,a12,a21,a22,b1,b2,c1,c2,d ans:9arrow_forwardACTIVITY 3 Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in your indicated format. Determine the general solutions of the following non homogenous linear equations. 1. (D2 + D)y = sin x 2. (D2 - 4D+ 4)y = e* 3. (D2 - 3D + 2)y = 2x3-9x2 + 6x 4. (D2 + 4D+ 5)y 50x + 13e3x 5. (D3 - D2 + D- 1)y 4 sin x 6. (D3-D)y = x -END OF MODULE 3---arrow_forward16. The equation of motion of a particle is =t-2t + t-t, where s is in meters and t is in %3D seconds. (a) Find the velocity and acceleration as functions of t. (b) Find the acceleration after 1 s. (c) Graph the position, velocity, and acceleration functions on the same screen.arrow_forward
- Evaluate Ic1² (2x - y) dx + (x + 5y) dy. C: x-axis from x = 0 to x = 6arrow_forwardThe equation xy + 2y 1 defines implicitly the function y=. A B +2arrow_forwardA measurement system can be modeled by the equation: 0.5y + y = F(t) Initially, the output signal is steady at 75 volts. The input signal is then suddenly increased to 100 volts. A. Determine the response equation. B. On the same graph, plot the input signal and the system time response through steady response.arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning