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Beliebt Rechnen >

y^{''}+y^'-12=0

Lösung

y^{^{''}} + y^{^{'}} - 12 = 0

Lösung

y = c_{1} + c_{2} e^{- t} + 12 t

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 12 = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + 12 t

y = c_{1} + c_{2} e^{- t} + 12 t

Graph

Beliebte Beispiele

y^{'''}+y^{''}+y^'+y=2(sin(x)+cos(x))

y^{^{'''}} + y^{^{''}} + y^{^{'}} + y = 2 (sin (x) + cos (x))

y^{''}+9y=cos(3t)+sin(3t)

y^{^{''}} + 9 y = cos (3 t) + sin (3 t)

y^{''}+2y^'+5y=3\H(t)

y^{^{''}} + 2 y^{^{'}} + 5 y = 3 H (t)

y^{''}-2y^'=3,y(0)=-3e^{-x}

y^{^{''}} - 2 y^{^{'}} = 3, y (0) = - 3 e^{- x}

y^{''}+9y^'+18y=x+e^{-x}

y^{^{''}} + 9 y^{^{'}} + 18 y = x + e^{- x}