cos(x)cos(y)y^'+sin(y)sin(x)=0

Lösung

cos (x) cos (y) y^{^{'}} + sin (y) sin (x) = 0

y = arcsin (c_{1} cos (x)) + 2 πn, y = π + arcsin (- c_{1} cos (x)) + 2 πn

Schritte zur Lösung

cos (x) cos (y) y^{'} (x) + sin (y) sin (x) = 0

Solve separable ODE:

y = arcsin (c_{1} cos (x)) + 2 πn, y = π + arcsin (- c_{1} cos (x)) + 2 πn

y = arcsin (c_{1} cos (x)) + 2 πn, y = π + arcsin (- c_{1} cos (x)) + 2 πn

x^{^{'}} = 4 x

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

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

2 x y^{^{'}} - 4 y = 0

y^{^{'}} - (1 + x) (1 + y^{2}) = 0