'Series solutions' presentation slideshows

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Chapter 6 Series Solutions of Linear Equations

Chapter 6 Series Solutions of Linear Equations. Outline. Using power series to solve a differential equation. First, we should decide the point we choose to be the expanding point that is ordinary or not.

3.38k views • 66 slides

8.5 Series Solutions Near a Regular Singular Point, Part I

8.5 Series Solutions Near a Regular Singular Point, Part I. We now consider the question of solving the general second order linear equation P ( x ) y'' + Q ( x ) y' + R ( x ) y = 0 (1)

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Ch 5.7: Series Solutions Near a Regular Singular Point, Part II

Ch 5.7: Series Solutions Near a Regular Singular Point, Part II. Recall from Section 5.6 (Part I): The point x 0 = 0 is a regular singular point of with and corresponding Euler Equation We assume solutions have the form . Substitute Derivatives into ODE. Taking derivatives, we have

775 views • 17 slides

Ch 5.6: Series Solutions Near a Regular Singular Point, Part I

Ch 5.6: Series Solutions Near a Regular Singular Point, Part I. We now consider solving the general second order linear equation in the neighborhood of a regular singular point x 0 . For convenience, will will take x 0 = 0. Recall that the point x 0 = 0 is a regular singular point of

500 views • 17 slides

Ch 5.3: Series Solutions Near an Ordinary Point, Part II

Ch 5.3: Series Solutions Near an Ordinary Point, Part II. A function p is analytic at x 0 if it has a Taylor series expansion that converges to p in some interval about x 0 The point x 0 is an ordinary point of the equation

79 views • 7 slides