Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = \sin t \cos ^ { 3 } t , y \left( \frac { \pi } { 3 } \right) = 0$

question 39

Multiple Choice

Solve the differential equation with the given initial condition.
- $y ^ { \prime } = \sin t \cos ^ { 3 } t , y \left( \frac { \pi } { 3 } \right) = 0$

• A) y = \(\frac { 1 } { 64 }\) - \(\frac { \cos ^ { 4 } t } { 4 }\)
• B) y = \(\frac { \cos ^ { 4 } t } { 4 }\)
• C) y = 16 + \(\frac { \cos ^ { 4 } t } { 4 }\)
• D) y = 64 - \(\cos 4\) t

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