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Question 50
Find the solution to the differential equation dydx=xsecy\frac { d y } { d x } = x \sec ydxdy=xsecy if y=π6y = \frac { \pi } { 6 }y=6π when x = 1.
A) 2y=arccos(x22) 2 y = \arccos \left( \frac { x ^ { 2 } } { 2 } \right) 2y=arccos(2x2) B) 32y=arctan(x) \frac { 3 } { 2 } y = \arctan ( x ) 23y=arctan(x) C) y−π6=arccos(x) y - \frac { \pi } { 6 } = \arccos ( x ) y−6π=arccos(x) D) y=arcsin(x22) y = \arcsin \left( \frac { x ^ { 2 } } { 2 } \right) y=arcsin(2x2)
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