Solve the Differential Equation $$\frac { d y } { d x } = 6 x ^ { 5 } \cos ^ { 2 } y$$

question 27

Multiple Choice

Solve the differential equation.
- $$\frac { d y } { d x } = 6 x ^ { 5 } \cos ^ { 2 } y$$

• A) \(y = x ^ { 6 } + C\)
• B) \(y = \tan ^ { - 1 } \left( x ^ { 5 } + C \right)\)
• C) \(y = \tan \left( x ^ { 6 } + C \right)\)
• D) \(y = \tan ^ { - 1 } \left( x ^ { 6 } + C \right)\)

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Definitions:

Direct Materials

Raw materials that are directly traceable to the manufacturing of a specific product and considered a part of its cost.

Bandages

Strips of cloth or other material used to wrap or cover wounds, providing protection and support.

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A document that records the details of materials or goods received by a company, ensuring the quantities and descriptions match the order.

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The process of requesting and purchasing raw materials or supplies required for production or operations.