Solve the Differential Equation $$\frac { d y } { d x } = 3 x ^ { 2 } \cos ^ { 2 } y$$

question 111

Multiple Choice

Solve the differential equation.
- $$\frac { d y } { d x } = 3 x ^ { 2 } \cos ^ { 2 } y$$

• A) \(y = x ^ { 3 } + C\)
• B) \(y = \tan ^ { - 1 } \left( x ^ { 3 } + C \right)\)
• C) \(y = \tan ^ { - 1 } \left( x ^ { 2 } + C \right)\)
• D) \(y = \tan \left( x ^ { 3 } + C \right)\)

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Definitions:

Longitudinal Design

A research strategy where subjects are followed and observed over a period of time to detect any changes in them.

Different Times

Refers to distinct points or periods in time, often used in the context of comparing historical periods, events, or personal experiences.

Single Group

A research design involving only one group of participants, without a comparison group.

Cross-sectional Study

A research method that analyzes data from a population, or a representative subset, at a specific point in time.