(dx)/(dt)=-x/t

Lösung

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

x = \frac{c _{1}}{t}

Schritte zur Lösung

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

Solve separable ODE:

x = \frac{c _{1}}{t}

x = \frac{c _{1}}{t}

\frac{d y}{d x} = \frac{x ^{2} + 1}{2 - y}

\frac{d y}{d x} = \frac{( x - 1 ) ^{2}}{3 y}

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

y^{^{'}} + 14 x y = 0

y y^{^{'}} e^{y^{2}} = x - 1