Solve the Initial Value Problem $$\frac { d y } { d x } = x \cos \left( 8 x ^ { 2 } \right) , \quad y ( 0 ) = 8$$

question 103

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d x } = x \cos \left( 8 x ^ { 2 } \right) , \quad y ( 0 ) = 8$$

• A) \(y = \sin \left( 8 x ^ { 2 } \right) + 8\)
• B) \(\mathrm { y } = \frac { 1 } { \mathrm { u } } \sin ( \mathrm { u } )\)
• C) \(y = \frac { 1 } { 16 } \sin \left( 8 x ^ { 2 } \right) + 8\)
• D) \(y = \frac { x ^ { 2 } } { 2 } \sin \left( 8 x ^ { 2 } \right) + 8\)

---

Definitions:

Antisocial Behaviour

Actions that harm or lack consideration for the well-being of others and can range from minor disturbances to serious offenses.

Dog Feces

Refers to the solid waste produced by dogs.

Uncontrolled Dogs

Dogs that are not under the effective control of their owners, potentially leading to behavioral issues or risks to public safety.

Secondary Research

The practice of using existing research and data, gathered and analyzed by others, to support new analyses, conclusions, or insights.