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Beliebt Rechnen >

y^{''}-3y^'+2y=0,y(0)=4,y^'(0)=2

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = 4, y^{^{'}} (0) = 2

Lösung

y = - 2 e^{2 t} + 6 e^{t}

Schritte zur Lösung

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

Solve linear ODE:

y = - 2 e^{2 t} + 6 e^{t}

y = - 2 e^{2 t} + 6 e^{t}

Graph

Beliebte Beispiele

y^{^{''}} + \frac{a}{4} y = 0

y^{''}+25y=0,y(0)=3,y^'(0)=1

y^{^{''}} + 25 y = 0, y (0) = 3, y^{^{'}} (0) = 1

y^{''}+25y=0,y(0)=3,y^'(0)=2

y^{^{''}} + 25 y = 0, y (0) = 3, y^{^{'}} (0) = 2

y^{'''}+8y^{''}+21y^'+18y=0

y^{^{'''}} + 8 y^{^{''}} + 21 y^{^{'}} + 18 y = 0

y^{''}+y^'=0,y(0)=2,y^{''}(0)=1

y^{^{''}} + y^{^{'}} = 0, y (0) = 2, y^{^{''}} (0) = 1