6.4 39E ... [FREE SOLUTION]

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A First Course In Differential Equations With Modelling Applications

Dennis G. Zill

$Math Studyset Vaia Explanations$ Math

11th Edition · 400 pages

ISBN: 9781305965720

Chapter 6: 6.4 39E (page 236)

Short Answer

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Step by step solution

Define Bessel’s equation.

Determine the general form of the Bessel’s equation

Find the value of constants.

Obtain the general solution.

Determine the derivatives of the given function.

Find the general solution of an DE.

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Most popular questions from this chapter

In Problems 25-30 proceed as in Example 3 to rewrite the given expression using a single power series whose general term involves $x^{k}$ .

$\sum_{n = 1}^{\infty} n C_{n} x^{n - 1} + 3 \sum_{n = 0}^{\infty} C_{n} x^{n + 2}$

In Problems 21 and 22 the given function is analytic at $a = 0$ . Use appropriate series in (2) and long division to find the first four nonzero terms of the Maclaurin series of the given function.

$s e c x$

In Problems, 35-38 proceed as in Example 4 and find the $ power series solution of the given linear first order differential equation.

:(a) Use the explicit solutions Y₁(X)and Y₂(X) of Legendre’sequation given in 32and the appropriate choice ofc₀and c₁to find the Legendre polynomials P₆(X) and P₇(X).

(b) Write the differential equations for whichP₆(X) andP₇(X)are particular solutions.

Find two power series solutions of the given differential equation about the ordinary point x = 0 as $y'' + 2 x y' + 2 y = 0$

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Short Answer

Step by step solution

Define Bessel’s equation.

Determine the general form of the Bessel’s equation

Find the value of constants.

Obtain the general solution.

Determine the derivatives of the given function.

Find the general solution of an DE.

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Most popular questions from this chapter

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