(dx)/(dt)=7xt^5

Lösung

\frac{d x}{d t} = 7 x t^{5}

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

Schritte zur Lösung

\frac{d x}{d t} = 7 x t^{5}

Solve separable ODE:

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

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

\frac{d y}{d x} + (\frac{( 1 - y ^{2} )}{( 1 - x ^{2} )}) = 0

y y^{^{'}} - 2 e x = 0, y (0) = 3

x y^{^{'}} + y = \frac{1}{3}

\frac{d y}{d x} = y \cdot tan (x)

y^{^{'}} = 12 x y, y (0) = 1