xsin(y)dx-(x^2+1)cos(y)dy=0

Lösung

x sin (y) d x - (x^{2} + 1) cos (y) d y = 0

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

Schritte zur Lösung

x sin (y) d x - (x^{2} + 1) cos (y) d y = 0

Solve separable ODE:

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

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

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

y (6 x^{2} - x - 1) d x + 2 x d y = 0

y^{^{'}} - y = 0, y (0) = c e^{x}

y^{^{'}} = \frac{1}{1 - 3 y}

\frac{d y}{y} = 35 x^{4} d x