(dx)/(dt)=2x+x

Lösung

\frac{d x}{d t} = 2 x + x

x = e^{3 t + c_{1}}

Schritte zur Lösung

\frac{d x}{d t} = 2 x + x

Solve separable ODE:

x = e^{3 t + c_{1}}

x = e^{3 t + c_{1}}

y^{^{'}} + \frac{t}{y ( t ^{2} - 1 )} = 0

y^{^{'}} = e^{9 x - 9 y}

y^{^{'}} = \frac{e ^{y}}{cos ^{2} ( t )}

\frac{d y}{d x} = a y + b

\frac{1}{x} d x = \frac{1}{y} d y