x^'=6x+7

Lösung

x^{^{'}} = 6 x + 7

x = \frac{e ^{6 t + c_{1}}}{6} - \frac{7}{6}

Schritte zur Lösung

x^{'} (t) = 6 x + 7

Solve separable ODE:

x = \frac{e ^{6 t + c_{1}}}{6} - \frac{7}{6}

x = \frac{e ^{6 t + c_{1}}}{6} - \frac{7}{6}

(x) y - (3 - x) y^{^{'}} - y = 0

x^{^{'}} = x \cdot sin (t)

d x - 7 x y d y = 2 y d y

\frac{d y}{d t} = 2 t \cdot y^{2}

y^{^{'}} + 8 y = 64