(dy)/(dx)=(-0.1)/(cos(y)),y(0)= pi/2

Lösung

\frac{d y}{d x} = \frac{- 0.1}{cos ( y )}, y (0) = \frac{π}{2}

y = arcsin (- 0.1 x + 1) + 2 πn, y = π + arcsin (0.1 x - 1) + 2 πn

Schritte zur Lösung

\frac{d y}{d x} = \frac{- 0.1}{cos ( y )}

Solve separable ODE:

y = arcsin (- 0.1 x + 1) + 2 πn, y = π + arcsin (0.1 x - 1) + 2 πn

y = arcsin (- 0.1 x + 1) + 2 πn, y = π + arcsin (0.1 x - 1) + 2 πn

n = 0 \sum \infty n \cdot 2^{n - 1}

\frac{\partial}{\partial x} (y^{2} e^{x yz})

x \to - \infty lim (- 2)

(2 x y + x^{3}) y^{^{'}} = \frac{1}{2} x^{2} y + y^{2}

\frac{\partial}{\partial y} (x^{3} y + e^{x y^{2}})