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Beliebt Rechnen >

y^{''}+y=-8e^{3t}

Lösung

y^{^{''}} + y = - 8 e^{3 t}

Lösung

y = c_{1} cos (t) + c_{2} sin (t) - \frac{4}{5} e^{3 t}

Schritte zur Lösung

y^{''} (t) + y = - 8 e^{3 t}

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) - \frac{4}{5} e^{3 t}

y = c_{1} cos (t) + c_{2} sin (t) - \frac{4}{5} e^{3 t}

Graph

Beliebte Beispiele

y^{''}-3y^'-4y=-8e^t(cos(2t))

y^{^{''}} - 3 y^{^{'}} - 4 y = - 8 e^{t} (cos (2 t))

y^{''}+y^'-12y=-32t+24t^2

y^{^{''}} + y^{^{'}} - 12 y = - 32 t + 24 t^{2}

(d^2y)/(dx^2)+y=3+e^{-x}+5e^{2x}

\frac{d ^{2} y}{d x ^{2}} + y = 3 + e^{- x} + 5 e^{2 x}

y^{''}+9y^'+14y=3sin(2x)

y^{^{''}} + 9 y^{^{'}} + 14 y = 3 sin (2 x)

x^{''}-x=e^{-t}

x^{^{''}} - x = e^{- t}