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Beliebt Rechnen >

x^{''}+2x^'-3x=0,x(0)=-1,x^'(0)=3

Lösung

x^{^{''}} + 2 x^{^{'}} - 3 x = 0, x (0) = - 1, x^{^{'}} (0) = 3

Lösung

x = - e^{- 3 t}

Schritte zur Lösung

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

Solve linear ODE:

x = - e^{- 3 t}

x = - e^{- 3 t}

Graph

Beliebte Beispiele

y^{''}-2y^'-15y=0,y(0)=2,y^'(0)=6

y^{^{''}} - 2 y^{^{'}} - 15 y = 0, y (0) = 2, y^{^{'}} (0) = 6

(d^2y)/(dx^2)=5y,y(0)=-2,y(2)=10

\frac{d ^{2} y}{d x ^{2}} = 5 y, y (0) = - 2, y (2) = 10

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

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

y^{''}+10y^'+5y=0

y^{^{''}} + 10 y^{^{'}} + 5 y = 0

y^{''}+y^'+12y=0,y(0)=1

y^{^{''}} + y^{^{'}} + 12 y = 0, y (0) = 1