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Beliebt Rechnen >

(d^2y)/(dx^2)-9(dy)/(dx)+18y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 9 \frac{d y}{d x} + 18 y = 0

Lösung

y = c_{1} e^{6 x} + c_{2} e^{3 x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 9 \frac{d y}{d x} + 18 y = 0

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} e^{3 x}

y = c_{1} e^{6 x} + c_{2} e^{3 x}

Graph

Beliebte Beispiele

y^{''}+5y^'+4y=0,y^'(0)=1,y(0)=1

y^{^{''}} + 5 y^{^{'}} + 4 y = 0, y^{^{'}} (0) = 1, y (0) = 1

y^{''}+1000y^'+250000y=0

y^{^{''}} + 1000 y^{^{'}} + 250000 y = 0

y^{''}+9y=0,y(0)=5,y^'(0)=-7

y^{^{''}} + 9 y = 0, y (0) = 5, y^{^{'}} (0) = - 7

2 y - y^{^{''}} = 0

2 y = 3 y^{^{''}}