$\text { Solve the Bernoulli differential equation } x y ^ { t} + y = x y ^ { 12 } \text {. }$

question 60

Multiple Choice

$\text { Solve the Bernoulli differential equation } x y ^ { t} + y = x y ^ { 12 } \text {. }$

• A) \(y ^ { - 11 } = 10 x + C x ^ { 11 }\)
• B) \(y ^ { - 11 } = 11 x - C x ^ { 11 }\)
• C) \(y ^ { - 11 } = 9 x + C x ^ { 11 }\)
• D) \(y ^ { - 11 } = \frac { 10 } { 11 } x + C x ^ { 10 }\)
• E) \(y ^ { - 11 } = \frac { 11 } { 10 } x + C x ^ { 11 }\)

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Definitions:

Intervertebral Disks

Disks located between the vertebrae of the spine that act as shock absorbers and allow flexibility.

Long Bones

Bones that are longer than they are wide, serving as major supports for the body and facilitating movement, such as the femur and tibia.

Shock Absorbers

Devices designed to absorb and damp shock impulses, often used in vehicle suspension systems.

Nucleus Pulposus

The gel-like inner core of an intervertebral disc, which helps absorb shock and maintain flexibility of the spine.