(dq)/(dt)=-1/5 q

Lösung

\frac{d q}{d t} = - \frac{1}{5} q

q = e^{\frac{- t - c _{1}}{5}}

Schritte zur Lösung

\frac{d q}{d t} = - \frac{1}{5} q

Solve separable ODE:

q = e^{\frac{- t - c _{1}}{5}}

q = e^{\frac{- t - c _{1}}{5}}

\frac{d y}{d x} = 10 x 4 - y^{2}

y^{^{'}} = e^{x^{2}} 36 - y^{2}

x y^{^{'}} + (1 + \frac{1}{ln ( x )}) y = 0

y^{^{'}} + x y = - x

(\frac{1}{y}) (\frac{d y}{d x}) - \frac{1}{x} = 0