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Beliebt Rechnen >

x^{''}-9x^'-14=0

Lösung

x^{^{''}} - 9 x^{^{'}} - 14 = 0

Lösung

x = c_{1} e^{9 t} + c_{2} - \frac{14 t}{9}

Schritte zur Lösung

x^{''} (t) - 9 x^{'} (t) - 14 = 0

Solve linear ODE:

x = c_{1} e^{9 t} + c_{2} - \frac{14 t}{9}

x = c_{1} e^{9 t} + c_{2} - \frac{14 t}{9}

Graph

Beliebte Beispiele

x^{''}-10x^'+25x=78t^2e^{5t}

x^{^{''}} - 10 x^{^{'}} + 25 x = 78 t^{2} e^{5 t}

y^{''}+2y^'+y=1,y(0)=2,y^'(0)=1

y^{^{''}} + 2 y^{^{'}} + y = 1, y (0) = 2, y^{^{'}} (0) = 1

y^{''}+4y^'+4y=6e^-2x-8sin(x)+6cos(x)

y^{^{''}} + 4 y^{^{'}} + 4 y = 6 e^{-} 2 x - 8 sin (x) + 6 cos (x)

y^{''}-4y=e^{3x}

y^{^{''}} - 4 y = e^{3 x}

y^{''}-9y^'+20y=3x+e^{4x}

y^{^{''}} - 9 y^{^{'}} + 20 y = 3 x + e^{4 x}