cos^3(y)(dy)/(dx)=xcsc(y)

Lösung

cos^{3} (y) \frac{d y}{d x} = x csc (y)

y = arccos (4 - 2 x^{2} - c_{1}) + 2 πn, y = - arccos (4 - 2 x^{2} - c_{1}) + 2 πn, y = arccos (- 4 - 2 x^{2} - c_{1}) + 2 πn, y = - arccos (- 4 - 2 x^{2} - c_{1}) + 2 πn

Schritte zur Lösung

cos^{3} (y) \frac{d y}{d x} = x csc (y)

Solve separable ODE:

y = arccos (4 - 2 x^{2} - c_{1}) + 2 πn, y = - arccos (4 - 2 x^{2} - c_{1}) + 2 πn, y = arccos (- 4 - 2 x^{2} - c_{1}) + 2 πn, y = - arccos (- 4 - 2 x^{2} - c_{1}) + 2 πn

y = arccos (4 - 2 x^{2} - c_{1}) + 2 πn, y = - arccos (4 - 2 x^{2} - c_{1}) + 2 πn, y = arccos (- 4 - 2 x^{2} - c_{1}) + 2 πn, y = - arccos (- 4 - 2 x^{2} - c_{1}) + 2 πn

y^{^{'}} = \frac{3 x}{4 y}

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

y^{^{'}} + b y = a

(1 + y^{2}) d x - 50 x d y = 0

x \frac{d y}{d x} + y = 1