Spherical bessel differential function.

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SUMMARY

The discussion centers on the Spherical Bessel Differential Equation, specifically the equation {(d²/dx²) + (d/dx) + [x² - (n + 1/2)²]}z = 0. The participant questions the order of the equation, asserting it should be n + 1/2, while referencing sources that claim it is of order 1/2. This discrepancy highlights a misunderstanding of how the order is determined in differential equations, particularly in relation to the squared terms.

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mccoy1
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I was looking at the above equation here:
http://mathworld.wolfram.com/SphericalBesselDifferentialEquation.html
Which has the following equation:
{(d ²/dx²)+(d/dx)+[x²-(n+1/2)²] }z =0.
In my opinion, this equation is of the order n+1/2 but the website and books claim it's of the order of a 1/2. How can that be? In maths books the order is what ever is squared and the solutions are of that order.
Thank you.
 
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