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Beliebt Rechnen >

y^{''}+2y^'-3y=0,y(0)=2,y^'(0)=10

Lösung

y^{^{''}} + 2 y^{^{'}} - 3 y = 0, y (0) = 2, y^{^{'}} (0) = 10

Lösung

y = 4 e^{t} - 2 e^{- 3 t}

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) - 3 y = 0

Solve linear ODE:

y = 4 e^{t} - 2 e^{- 3 t}

y = 4 e^{t} - 2 e^{- 3 t}

Graph

Beliebte Beispiele

(d^4y)/(dx^4)+6(d^2y)/(dx^2)+9y=0

\frac{d ^{4} y}{d x ^{4}} + 6 \frac{d ^{2} y}{d x ^{2}} + 9 y = 0

9y^{'''}+12y^{''}+4y^'=0

9 y^{^{'''}} + 12 y^{^{''}} + 4 y^{^{'}} = 0

(D^3-2D^2-5D+6)y=0

(D^{3} - 2 D^{2} - 5 D + 6) y = 0

16y^{''}+88y^'+121y=0

16 y^{^{''}} + 88 y^{^{'}} + 121 y = 0

\frac{y ^{^{''}}}{y} = - 1