(dy)/(dx)=(-0.7)/(cos(y)),y(0)= pi/2

Lösung

\frac{d y}{d x} = \frac{- 0.7}{cos ( y )}, y (0) = \frac{π}{2}

y = arcsin (- 0.7 x + 1) + 2 πn, y = π + arcsin (0.7 x - 1) + 2 πn

Schritte zur Lösung

\frac{d y}{d x} = \frac{- 0.7}{cos ( y )}

Solve separable ODE:

y = arcsin (- 0.7 x + 1) + 2 πn, y = π + arcsin (0.7 x - 1) + 2 πn

y = arcsin (- 0.7 x + 1) + 2 πn, y = π + arcsin (0.7 x - 1) + 2 πn

\frac{y - y ^{^{'}}}{x ^{2}} = 0

x^{^{'}} + x^{2} = 0

y^{^{'}} = \frac{24 ln ^{2} ( x )}{x e ^{y}}

\frac{d y}{d x} = \frac{150 - y}{200}

x^{^{'}} = 650 - x