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This short video demonstrates how to compute the Wronskian, a common tool in Differential Equations and Lineaer Algebra. ODEs: Consider the set of functions S = {x^2-1, x^2 x, x 1}. Is S a linearly dependent set? If not, find a relation in S. We test linear ...

Wronskian. Linearly independent and linearly dependent differential equation. ODEs: Show that the set of functions {e^{3x}, e^{-x}, 2} is a linearly independent set. These functions are in the solution space of ...

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Matrices and other arrays in LaTeX. Matrices and other arrays are produced in LaTeX using the \textbf{array} environment. For example, suppose that we wish to typeset the following passage:

Finding Wronskian of fundamental set of solutions and interpreting the result Classifying equilibrium solution x(t) = 0 as asymptotically stable, stable, or unstable. Laplace Transforms: [6.1-6.5] Deﬁnition Using table to ﬁnd transforms and inverse transforms Using transforms to solve linear constant-coeﬃcient IVPs

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The Row Space Calculator will find a basis for the row space of a matrix for you, and show all steps in the process along the way.

Transcript. 1 LECTURE NOTES ON MATHEMATICAL METHODS Mihir Sen Joseph M. Powers Department of Aerospace and Mechanical Engineering University of Notre Dame Notre Dame, Indiana 46556-5637 USA updated 29 July 2012, 2:31pm