Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter your answers as a comma-separated list. Include both real and complex singular points. If there are no singular points in a certain category, enter NONE.)(x2 − 4)2y'' + (x + 2)y' + 7y = 0

Step-by-step explanation:

Given that:

The differential equation;

The above equation can be better expressed as:

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

Also;

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

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step-by-step explanation:

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