Solve the Initial-Value Problem $t \frac { d y } { d t } = y ( y - 1 )$

question 6

Multiple Choice

Solve the initial-value problem $t \frac { d y } { d t } = y ( y - 1 )$ , $y ( 2 ) = 4$ .

• A) \(y = - \frac { 8 } { 8 + 3 t }\)
• B) \(y ^ { 2 } - y = 6 t\)
• C) \(y = - \frac { 8 } { 8 - 3 t }\)
• D) \(y ^ { 2 } - y = 6 t\)
• E) \(y = \frac { 8 } { 8 - 3 t }\)
• F) \(y ^ { 2 } = 8 t\)
• G) \(y = \frac { 1 } { 1 - t }\)
• H) \(y ^ { 2 } + y = 6 t\)

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Definitions:

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