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Beliebt Rechnen >

y^{''}-6y^'+9y=0,y=e^{3x}

Lösung

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (0) = e^{3 x}

Lösung

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

Schritte zur Lösung

y^{''} (x) - 6 y^{'} (x) + 9 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}-y^{''}+100y^'-100y=0

y^{^{'''}} - y^{^{''}} + 100 y^{^{'}} - 100 y = 0

y^{''}+9y^'+14y=0,y(0)=0

y^{^{''}} + 9 y^{^{'}} + 14 y = 0, y (0) = 0

x^{''}+2abx^'+b^2x=0

x^{^{''}} + 2 ab x^{^{'}} + b^{2} x = 0

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

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

y^{''}+4y^'+4y=0,y(0)=-2,y^'(0)=9

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (0) = - 2, y^{^{'}} (0) = 9