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

question 38

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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 .


Definitions:

Evolved Desire

Biological or psychological motivations that have developed over time through natural selection to promote survival and reproduction.

Biological Argument

A perspective that attributes behaviors, roles, or characteristics mainly to biological factors, such as genetics or physiology.

Sociological Argument

A reasoned discourse that aims to explain social phenomena by analyzing patterns, relationships, and structures within society, often backed by empirical evidence.

Male-desire Argument

A theoretical perspective suggesting that societal norms and media often reflect male preferences and desires, shaping gender roles and expectations.

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