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Beliebt Rechnen >

y^{''}-6y^'+9y=0,y^1(0)=e^3x

Lösung

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y^{1} (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

5(d^2y)/(dx^2)+(dy)/(dx)=0

5 \frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} = 0

2y^{'''}+9y^{''}-6y^'-5y=0

2 y^{^{'''}} + 9 y^{^{''}} - 6 y^{^{'}} - 5 y = 0

y^{''}+8y^'+4y=0,y(0)=0

y^{^{''}} + 8 y^{^{'}} + 4 y = 0, y (0) = 0

16y^{''}+56y^'+49y=0,y(0)=5

16 y^{^{''}} + 56 y^{^{'}} + 49 y = 0, y (0) = 5

81y^{''''}-625y=0

81 y^{^{''''}} - 625 y = 0