(dy)/(dx)=-(0.6)/(cos(y)),y(0)= pi/4

解

\frac{d y}{d x} = - \frac{0.6}{cos ( y )}, y (0) = \frac{π}{4}

y = arcsin (- 0.6 x + \frac{2}{2}) + 2 πn, y = π + arcsin (0.6 x - \frac{2}{2}) + 2 πn

解答ステップ

\frac{d y}{d x} = - \frac{0.6}{cos ( y )}

分離可能 ODE を解く:

y = arcsin (- 0.6 x + \frac{2}{2}) + 2 πn, y = π + arcsin (0.6 x - \frac{2}{2}) + 2 πn

y = arcsin (- 0.6 x + \frac{2}{2}) + 2 πn, y = π + arcsin (0.6 x - \frac{2}{2}) + 2 πn