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3 years ago

Circle the subjects to which the number - 105 belongs :

Mathematics

1 answer:

natta225 [31]3 years ago

7 0

This is an irrational number!

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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

You purchased a 1.5-liter bottle of olive oil for $11.69. What was the cost per fluid ounce?

dlinn [17]

It would be approximately 23 cents per fluid ounce.

7 0

2 years ago

Problem #2: A piece of wood that is 15 feet long is out in half. Each half is then cut into twelve

garri49 [273]

Answer: Each peice of wood is equal to 0.625

Step-by-step explanation:

15/2 = 7.5

7.5/12 = 0.625

4 0

3 years ago

I NEED HELP ASAP!!!!!!!!!!!!!

erma4kov [3.2K]

Answer:

Step-by-step explanation:

GJ/UT

10/2

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3 years ago

Read 2 more answers

Hello can someone please help?

Ray Of Light [21]

The answer is D
Hope this helps

7 0

3 years ago