# Verify that the formulas for the Bessel functions ## Problem 14E Chapter 4.8

Fundamentals of Differential Equations | 8th Edition

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Problem 14E

PROBLEM 14E

Verify that the formulas for the Bessel functions J1/2(t),Y1/2(t) do indeed solve equation (16). Step-by-Step Solution:

Solution Step 1 of 5</p>

In this problem we have to verify that the formulas for the bessel functions solve the given equation. Step 2 of 5</p>

Verifying the first formula Neglecting constant we can consider the formula as  Differentiating with respect to t, we get , Bessel equation of order  Step 3 of 5</p>

Substituting the formula in the equation we get Thus is the solution.

Step 4 of 5

Step 5 of 5

##### ISBN: 9780321747730

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Verify that the formulas for the Bessel functions

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