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y=Ce4x2y = C e ^ { 4 x ^ { 2 } }

question 16

Short Answer

y=Ce4x2y = C e ^ { 4 x ^ { 2 } } is the solution of the differential equation y=8xyy ^ { \prime } = 8 x y . Find the solution that satisfies the initial condition y(1)=1y ( 1 ) = 1 .

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Definitions:

Dissociation

A mental process that causes a lack of connection in a person's thoughts, memory, and sense of identity.

Acrophobia

An extreme or irrational fear of heights.

Kleptomania

A psychiatric disorder characterized by an irresistible urge to steal items, typically without need or financial motive.

Paranoia

A mental condition characterized by delusions of persecution, unwarranted jealousy, or exaggerated self-importance, often without sufficient basis.

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