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4 years ago

PLZ HELP I'LL MARK Brainliest and will give free points

Mathematics

1 answer:

Vikentia [17]4 years ago

3 0

Answer Answer= 3

Explanation: Substitute the given value into the function and evaluate

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Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y

ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; $(x^2-4)^2y'' + (x + 2)y' + 7y = 0$

The above equation can be better expressed as:

$y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0$

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

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

This implies that:

$p(x) = \dfrac{(x+2)}{(x^2-4)^2} \$

$p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \$

$p(x) = \dfrac{1}{(x+2)(x-2)^2}$

Also;

$q(x) = \dfrac{7}{(x^2-4)^2}$

$q(x) = \dfrac{7}{(x+2)^2(x-2)^2}$

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

When x = - 2

$\lim \limits_{x \to-2} (x+ 2) p(x) = \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}$

$\implies \lim \limits_{x \to2} \dfrac{1}{(x-2)^2}$

$\implies \dfrac{1}{16}$

$\lim \limits_{x \to-2} (x+ 2)^2 q(x) = \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}$

$\implies \lim \limits_{x \to2} \dfrac{7}{(x-2)^2}$

$\implies \dfrac{7}{16}$

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

Thus, x = 2 is an irregular singular point.

5 0

3 years ago

6(6v +6) - 5 = 1 + 6v<br><br> Need answer with explaination

Tresset [83]

Answer:

v=-1

Step-by-Step Explanation:

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3 years ago

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Ms. Zahara had $350.00 in her checking account. She withdrew $25.00 each day on Thursday, Friday, and Saturday. Ms. Zahara got p

Blababa [14]

Answer:

350-es 12

Step-by-step explanation: I think this is right

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2 years ago

Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchase more lemons, cups, and sugar to

seraphim [82]

Answer:

16 + (-7) + 22 + (-12)

Step-by-step explanation:

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3 years ago

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Which numbers produce an irrational number when added to 5/8

uranmaximum [27]

Answer:

Irrational numbers

Step-by-step explanation:

Any irrational number plus a rational number like (5/8) creates another irrational number.

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3 years ago

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