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Beliebt Rechnen >

y^{''}-4y+3y=0,y(0)=-1,y^'(0)=-5

Lösung

y^{^{''}} - 4 y + 3 y = 0, y (0) = - 1, y^{^{'}} (0) = - 5

Lösung

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

Schritte zur Lösung

y^{''} (t) - 4 y + 3 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y^'+20y=0,y(0)=6,y^'(0)=-11

y^{^{''}} + 4 y^{^{'}} + 20 y = 0, y (0) = 6, y^{^{'}} (0) = - 11

4y^{''}+9y=0,y(0)=0,y^'(0)=1

4 y^{^{''}} + 9 y = 0, y (0) = 0, y^{^{'}} (0) = 1

y^{'''}-7y^{''}+25y^'-39y=0

y^{^{'''}} - 7 y^{^{''}} + 25 y^{^{'}} - 39 y = 0

y^{''}-4y^'+3y=0,y(0)=0,y^'(0)=1

y^{^{''}} - 4 y^{^{'}} + 3 y = 0, y (0) = 0, y^{^{'}} (0) = 1

x^{''}+16.33x=0

x^{^{''}} + 16.33 x = 0