Solve the Initial-Value Problem $$x y ^ { t } = y + x ^ { 2 } \sin x , \quad y ( 7 \pi ) = 0$$

question 59

Multiple Choice

Solve the initial-value problem. Select the correct answer.
$$x y ^ { t } = y + x ^ { 2 } \sin x , \quad y ( 7 \pi ) = 0$$

• A) \(y = x \sin x - 7 x\)
• B) \(y = 7 x \sin x\)
• C) \(y = - x \cos x - x\)
• D) \(y = 7 x \cos x - \sin x\)
• E) \(y = - x \sin x + 7 x\)

---

Definitions:

Tortfeasor

A person or party that has committed a tort, which is a wrongful act leading to legal liability.

Intentional Tort

An Intentional Tort is a civil wrong resulting from an intentional act on the part of the tortfeasor (wrongdoer) that causes harm to another.

Felony

A serious crime, typically one punishable by imprisonment for more than one year or by death.

Negligence

A failure to exercise the care that a reasonably prudent person would exercise in similar circumstances, leading to causing harm or damage.