dx+cos(t)xdt-cos(t)dt=0

Lösung

d x + cos (t) x d t - cos (t) d t = 0

t = arcsin (- ln (x - 1) + c_{1}) + 2 πn, t = π + arcsin (ln (x - 1) - c_{1}) + 2 πn

Schritte zur Lösung

d x + cos (t) x d t - cos (t) d t = 0

Solve separable ODE:

t = arcsin (- ln (x - 1) + c_{1}) + 2 πn, t = π + arcsin (ln (x - 1) - c_{1}) + 2 πn

t = arcsin (- ln (x - 1) + c_{1}) + 2 πn, t = π + arcsin (ln (x - 1) - c_{1}) + 2 πn

\frac{d S}{d r} = k S (r)

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

y^{^{'}} = \frac{1}{2} (y^{2} - 1)

\frac{d x}{d t} = 60 - \frac{x}{100}

x y^{2} d x + x^{2} y d y = 0