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Beliebt Rechnen >

(d^2y)/(dx^2)-1(dy)/(dx)-6y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 1 \frac{d y}{d x} - 6 y = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 1 \frac{d y}{d x} - 6 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y^'-12y=0,y^0=5,y^'0=18

y^{^{''}} + 4 y^{^{'}} - 12 y = 0, y^{0} = 5, y^{^{'}} 0 = 18

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

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

4y^{''}-12y^'+5y=0

4 y^{^{''}} - 12 y^{^{'}} + 5 y = 0

y^{'''}+6y^{''}-11y^'-116y=0

y^{^{'''}} + 6 y^{^{''}} - 11 y^{^{'}} - 116 y = 0

25y^{''}+20y^'+4y=0

25 y^{^{''}} + 20 y^{^{'}} + 4 y = 0