The Differential Equation $y ^ { \prime } = ( 4 x + 2 y + 3 ) ^ { 2 }$

question 27

Multiple Choice

The differential equation $y ^ { \prime } = ( 4 x + 2 y + 3 ) ^ { 2 }$ has the solution

• A) \(y = - ( 4 x + 3 ) ^ { 3 } / 12 + c\)
• B) \(y = ( 4 x + 2 y + 3 ) ^ { 3 } / 12 + c\)
• C) \(y = ( 4 x + 2 y + 3 ) ^ { 3 } / 3 + c\)
• D) \(y = \sqrt { 2 } \tan ( 2 \sqrt { 2 } x + c )\)
• E) \(4 x + 2 y + 3 = \sqrt { 2 } \tan ( 2 \sqrt { 2 } x + c )\)

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The quality of always behaving or performing in a similar way, following the same principles or course.

Labeling Technique

A social psychology strategy where one labels a person or group with a term in order to influence their behavior or perception, often used in persuasion and compliance.

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The psychological principle that suggests individuals strive to be consistent in their beliefs and actions, especially when they have made a public commitment.