Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = 3 t ^ { 2 } ( 4 - y ) ^ { 2 } , y ( 0 ) = 2$

question 59

Multiple Choice

Solve the differential equation with the given initial condition.
- $y ^ { \prime } = 3 t ^ { 2 } ( 4 - y ) ^ { 2 } , y ( 0 ) = 2$

• A) y = 4 - \(\frac { 1 } { t ^ { 3 } + \frac { 1 } { 2 } }\)
• B) y = \(\frac { 1 } { t ^ { 3 } + 2 }\)
• C) y = \(t ^ { 3 }\) + \(\frac { 1 } { 2 }\)
• D) y = 4 + \(t ^ { 3 }\)

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