x^'+1/100 x=0

Lösung

x^{^{'}} + \frac{1}{100} x = 0

x = e^{\frac{- t - c _{1}}{100}}

Schritte zur Lösung

x^{'} (t) + \frac{1}{100} x = 0

Solve separable ODE:

x = e^{\frac{- t - c _{1}}{100}}

x = e^{\frac{- t - c _{1}}{100}}

4 y + 20 y^{^{'}} + 169 y = 0

y^{^{'}} = \frac{e ^{2 x}}{cos ( 2 y )}

\frac{d y}{d t} = 100 - y, y (0) = 30

y^{^{'}} = y^{2} x^{7}

1 \cdot \frac{d y}{d x} = 5 y, y (0) = 2