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

question 28

Multiple Choice

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

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

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Definitions:

Productive Activity

Actions or tasks that contribute to the production of goods and services in an economy.

Class-for-itself

Refers to a social group that is self-aware of its social position and its interests within the broader social structure.

Exploitation

The action or fact of treating someone unfairly in order to benefit from their work or resources.

Proletariat

Workers or the working class, especially those without substantial capital or ownership of production means, in Marxist theory and analysis.