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Beliebt Rechnen >

linear y^{''}-14y^'+49y=0

Lösung

linear

y^{^{''}} - 14 y^{^{'}} + 49 y = 0

Lösung

y = c_{1} e^{7 t} + c_{2} t e^{7 t}

Schritte zur Lösung

y^{''} (t) - 14 y^{'} (t) + 49 y = 0

Solve linear ODE:

y = c_{1} e^{7 t} + c_{2} t e^{7 t}

y = c_{1} e^{7 t} + c_{2} t e^{7 t}

Graph

Beliebte Beispiele

y^{'''}-y^{''}-26y^'-24y=0

y^{^{'''}} - y^{^{''}} - 26 y^{^{'}} - 24 y = 0

y^{''}-2y^'+20y=0

y^{^{''}} - 2 y^{^{'}} + 20 y = 0

y^{''}+8y^'+16y=0,y(0)=2,y^'(0)=-7

y^{^{''}} + 8 y^{^{'}} + 16 y = 0, y (0) = 2, y^{^{'}} (0) = - 7

y^{''}-10y^'-25y=0

y^{^{''}} - 10 y^{^{'}} - 25 y = 0

55y^{''''}+119y^{''}+36y=0

55 y^{^{''''}} + 119 y^{^{''}} + 36 y = 0