(xy+y^2)dx-(x^2+xy)dy=0

Lösung

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

y = c_{1} x

Schritte zur Lösung

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

Solve separable ODE:

y = c_{1} x

y = c_{1} x

y^{^{'}} = \frac{x ^{4}}{y ^{2}}

\frac{d y}{d x} = x y + 6 x + 5 y + 30

\frac{d P}{d t} = 0.05 P - 0.0005 P^{2}

y^{^{'}} + y^{^{'}} - 6 y = 0

y^{^{'}} + \frac{y}{5} = 200