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Beliebt Rechnen >

(d^2y)/(dt^2)-y=10e^t

Lösung

\frac{d ^{2} y}{d t ^{2}} - y = 10 e^{t}

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d t ^{2}} - y = 10 e^{t}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-0*y^'-2y=-2t+4t^2

y^{^{''}} - 0 \cdot y^{^{'}} - 2 y = - 2 t + 4 t^{2}

y^{''}-y=-20t+2

y^{^{''}} - y = - 20 t + 2

y^{'''}+2y^{''}+y^'=pie^xcos(x)

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

y^{''}-y=4e^{-x}

y^{^{''}} - y = 4 e^{- x}

y^{''}+8y+15=-18e^{-2t},y(0)=-6,y^'(0)=10

y^{^{''}} + 8 y + 15 = - 18 e^{- 2 t}, y (0) = - 6, y^{^{'}} (0) = 10