$\text { Find the particular solution of the differential equation } x ^ { 9 } y ^ { t} + 8 y = e ^ { 1 / x ^ { 8 } } \text { that }$

question 70

Multiple Choice

$\text { Find the particular solution of the differential equation } x ^ { 9 } y ^ { t} + 8 y = e ^ { 1 / x ^ { 8 } } \text { that }$ satisfies the initial condition $y ( 1 ) = e$ .

• A)\(y = \frac { e ^ { 1 / x ^ { 8 } } } { x ^ { 8 } }\)
• B) \(y = e ^ { 1 / x ^ { 8 } }\)
• C) \(y = \left( \frac { x ^ { 8 } + 1 } { 8 x ^ { 8 } } \right)\)
• D)\(y = e ^ { 1 / x ^ { 8 } } \left( \frac { 9 x ^ { 8 } - 1 } { 8 x ^ { 8 } } \right)\)
• E)\(y = e ^ { 1 / x ^ { 8 } } \left( 9 x ^ { 8 } - 1 \right)\)

---

Definitions:

Reproductive Hormones

Hormones that play a crucial role in sexual development, reproduction, and the functioning of reproductive organs.

Brain Volume

The total space occupied by the brain, usually measured in cubic centimeters, indicative of brain size which can be correlated with various aspects of cognitive functioning.

Sexually Transmitted Infection

Infections transmitted through sexual contact, caused by bacteria, viruses, or parasites.

Sexual Intercourse

A physical activity involving the consensual genital contact between individuals, typically leading to sexual arousal and pleasure.