cos(2y)dy=dx

解

cos (2 y) d y = d x

y = \frac{arcsin ( 2 x + c _{1} )}{2} + πn, y = \frac{π}{2} + \frac{arcsin ( - 2 x - c _{1} )}{2} + πn

解答ステップ

cos (2 y) d y = d x

分離可能 ODE を解く:

y = \frac{arcsin ( 2 x + c _{1} )}{2} + πn, y = \frac{π}{2} + \frac{arcsin ( - 2 x - c _{1} )}{2} + πn

y = \frac{arcsin ( 2 x + c _{1} )}{2} + πn, y = \frac{π}{2} + \frac{arcsin ( - 2 x - c _{1} )}{2} + πn