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Beliebt Rechnen >

y^{''}-4y^'-5y=125

Lösung

y^{^{''}} - 4 y^{^{'}} - 5 y = 125

Lösung

y = c_{1} e^{5 t} + c_{2} e^{- t} - 25

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) - 5 y = 125

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{- t} - 25

y = c_{1} e^{5 t} + c_{2} e^{- t} - 25

Graph

Beliebte Beispiele

y^{^{''}} + 4 y = 4

y^{''}+y^'-12y=2cos(t),y(0)=1,y^'(0)=1

y^{^{''}} + y^{^{'}} - 12 y = 2 cos (t), y (0) = 1, y^{^{'}} (0) = 1

y^{'''}+8y=2x-5+8e^{-2x}

y^{^{'''}} + 8 y = 2 x - 5 + 8 e^{- 2 x}

y^{''}-y=cosh(t)

y^{^{''}} - y = cosh (t)

y^{''}+4y=4t^2-4t+10,y(0)=0,y^'(0)=3

y^{^{''}} + 4 y = 4 t^{2} - 4 t + 10, y (0) = 0, y^{^{'}} (0) = 3