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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{x} - x - 3 + 3 x e^{x}

Schritte zur Lösung

y^{''} (x) - 3 y^{''} (x) + 3 y^{'} (x) - y = x - 3 e^{x}

Solve linear ODE:

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{x} - x - 3 + 3 x e^{x}

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{x} - x - 3 + 3 x e^{x}

Graph

Beliebte Beispiele

y^{''}-6y^'+13y=4.29e^{3t}*cos(4.29t)

y^{^{''}} - 6 y^{^{'}} + 13 y = 4.29 e^{3 t} \cdot cos (4.29 t)

5y^{''}-10y^'+10y=e^x*sec(x)

5 y^{^{''}} - 10 y^{^{'}} + 10 y = e^{x} \cdot sec (x)

y^{''}-2y^'+2y=exsin(x)

y^{^{''}} - 2 y^{^{'}} + 2 y = e x sin (x)

y^{''}+6y^'+5y=e^x

y^{^{''}} + 6 y^{^{'}} + 5 y = e^{x}

y^{''}+5y^'+6=sin(x)-cos(2x)

y^{^{''}} + 5 y^{^{'}} + 6 = sin (x) - cos (2 x)