Solve the Differential Equation $$\frac { d y } { d x } = 9 \sqrt { x y }$$

question 10

Multiple Choice

Solve the differential equation.
- $$\frac { d y } { d x } = 9 \sqrt { x y }$$

• A) \(y = 3 x ^ { 3 / 2 } + C\)
• B) \(y = \left( 3 x ^ { 3 / 2 } + C \right) ^ { 2 }\)
• C) \(y = 3 x ^ { 3 } + x ^ { 3 / 2 } + C\)
• D) \(y = 9 x ^ { 3 } + C\)

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Definitions:

Loss Per Unit

The amount of financial loss incurred for each unit of product sold or produced.

Short Run

A period in economics during which some factors of production are fixed, leading to outputs that can only be influenced by changes in variable factors.

Long Run

A period during which all factors of production and costs are variable, allowing full adjustment to any change.

Fixed Cost

Describes expenses that do not change with the level of production or business activity, such as rent, salaries, and insurance premiums.