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Beliebt Rechnen >

x^{''}-3x^'+2x=t

Lösung

x^{^{''}} - 3 x^{^{'}} + 2 x = t

Lösung

x = c_{1} e^{2 t} + c_{2} e^{t} + \frac{t}{2} + \frac{3}{4}

Schritte zur Lösung

x^{''} (t) - 3 x^{'} (t) + 2 x = t

Solve linear ODE:

x = c_{1} e^{2 t} + c_{2} e^{t} + \frac{t}{2} + \frac{3}{4}

x = c_{1} e^{2 t} + c_{2} e^{t} + \frac{t}{2} + \frac{3}{4}

Graph

Beliebte Beispiele

y^{'''}+8y^{''}+20y^'=x^2-4

y^{^{'''}} + 8 y^{^{''}} + 20 y^{^{'}} = x^{2} - 4

y^{''}-4y^'-21=0

y^{^{''}} - 4 y^{^{'}} - 21 = 0

y^{''}+7y^'+6y=sin(2t),y(0)=1,y^'(0)=0

y^{^{''}} + 7 y^{^{'}} + 6 y = sin (2 t), y (0) = 1, y^{^{'}} (0) = 0

y^{''}-y^'-2y=e^x-x

y^{^{''}} - y^{^{'}} - 2 y = e^{x} - x

y^{''}+y^'=e^t*cos(t)

y^{^{''}} + y^{^{'}} = e^{t} \cdot cos (t)