Solve the initial value problem
by using the fundamental matrix
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Differential Equations: An Introduction to Modern Methods and Applications
Additional Math Textbook Solutions
Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)
Mathematical Methods in the Physical Sciences
Thinking Mathematically (6th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Mathematics for Elementary Teachers with Activities (5th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
- i need help finding the initial value problem using matrices.Tnx. x1'= -x1-4x2 x2'= x1-x2 initial condition: x(0) = (41)arrow_forwardx'(t) = of the any - 2 5-6 4 1-4-6|x (t) x (0) = -2 + -3 1 The only eigen value of this matrix is -3, a triple root. You must explicitly find matrix involved, with the exception cannot involve Also, your answer 0 imaginary any matrix inverses. number i.arrow_forwardIn this Problem the Eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated system x’ = Ax.arrow_forward
- Solve the initial value problem (요 6 -1 x, 11 -6 x' = x(0) = () 2 by using the fundamental matrix, 1 1le – e 1le - 11e-5t eAt -est + e-5t 10 +11e-5t X =arrow_forwardCompute the matrix exponential eAt for system x’= Ax given in the following Problem x’1 = 5x1 - 3x2, x’2 = 2x1arrow_forwardIn this Problem the Eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated system x’ = Ax. use of a computer algebra system (as in the application material for this section) may be useful.arrow_forward
- Apply the conjugate gradient method to solve Ax = b = ones(lOO, 1), where A is the -1, 2, -1 second difference matrix A= toeplitz([2 - 1 zeros(l, 98)]). Graph x10 and x20 from CG, along with the exact solution x. (Its 100 components are Xi = (ih -i2h2)/2 with h = 1/101. "plot(i, x(i))" should produce a parabola.)arrow_forwardand Y = (1 1 -) If X =0 1. Find the matrix Z where Y = Xiz %3D -2arrow_forwardConsider the system of differential equations x' Ax where %3D 1 A and a is a real-valued constant. Find the eigenvalues of A. You do not need to find the eigenvectors. Your answer should be written in terms of a.arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,