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Beliebt Rechnen >

40y^{''}+7y^'-3y=0

Lösung

40 y^{^{''}} + 7 y^{^{'}} - 3 y = 0

Lösung

y = c_{1} e^{\frac{t}{5}} + c_{2} e^{- \frac{3 t}{8}}

Schritte zur Lösung

40 y^{''} (t) + 7 y^{'} (t) - 3 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t}{5}} + c_{2} e^{- \frac{3 t}{8}}

y = c_{1} e^{\frac{t}{5}} + c_{2} e^{- \frac{3 t}{8}}

Graph

Beliebte Beispiele

y^{^{''}} + k^{2} \cdot y = 0

linear y^{''}=y

l in e a r y^{^{''}} = y

y^{''}-7y^'-8y=0,y(0)=1,y^'(0)=-1

y^{^{''}} - 7 y^{^{'}} - 8 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

y^{''''}-8y^{'''}+18y^{''}-27y=0

y^{^{''''}} - 8 y^{^{'''}} + 18 y^{^{''}} - 27 y = 0

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

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