Distinct Real Eigenvalues
In Problems 1–12 find the general solution of the given system.
7.
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
- Problem. 9: Let z = x? 7 xy + 6 y? and suppose that (x, y) changes from (2, 1) to (1.95, 1.05 ). (Round your answers to four decimal places.) (a) Compute Az. (b) Compute dz. ?arrow_forwardUse (1) in Section 8.4 X = eAtc (1) to find the general solution of the given system. 1 X' = 0. X(t) =arrow_forwardPart III Obtain the particular solutions of the following: d. y(2x* - xy + y* )dx –x (2x – y)dy =0,arrow_forward
- Exercise 3.6.1. Find the general solution for the system -3 x = ( 23 ) x + cos(2t) ( _ )+(²).arrow_forward4. (S.10). Use Gaussian elimination with backward substitution to solve the following linear system: 2.r1 + 12 – 13 = 5, 1 + 12 – 3r3 = -9, -I1 + 12 +2r3 = 9;arrow_forwardDetermine the solution of (2x - 3y + 2)dx + (2x - 3y + 1)dy = 0. a. 10x + 10y + ln(10x - 15y + 8)2 = c b. 10x + 10y + ln(10x - 15y - 8)2 = c c. 10x - 10y + ln(10x + 15y + 8)2 = c d. 10x - 10y - ln(10x + 15y + 8)2 = carrow_forward
- . Solve the following matrix system by using variation of parameters: dx 1 x+ -2 5e-t dt 4 -5e-t Note that the eigenvalues of the matrix are -1, -6 with respective eigenvectors () ()arrow_forward02) a. Solve the following system by using Cramer's rule; 5x + 3y – 3z= -14, 3x+ z- 4y= 2; 7y+ z +x=6 b. Solve the differential equation; yy + 25x = 0arrow_forwardProblem 2. Let dX/dt = AX. Find et and use it to write down the solution to the system. (²2) b) 4-(32) 1 a) A = Aarrow_forward
- -3 5. Solve the given linear system, X' = 2, X -2 [v2 (a) Determine the Eigenvalues.arrow_forwardQuestion 5 く Consider the linear system : -11 8 y': -2 3 - y(0) = |. Solve this IVP and enter the formulas for the component functions below. x(t) y(t) へarrow_forward[1 1 1] 024. The system of equations | 0 0 1x=| b, | is solvable if |0 0 1 b, (c) b, = b, (d) b, = 0 (e) none (a) h, = b, = 0 (b) b, = b, # 0 025. If A = B+C and B= B' and C' =-C, then %3D %3D (1) C = A– A" »C=÷(4- A') (6) C=;(4+A") (4) C = A+ A" (e) none c=-(4-A') (0) C = (A+ A°) («)C= A+ A°arrow_forward
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education