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Beliebt Rechnen >

y^{''}+3y=-48e^{3x}

Lösung

y^{^{''}} + 3 y = - 48 e^{3 x}

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 4 e^{3 x}

Schritte zur Lösung

y^{''} (x) + 3 y = - 48 e^{3 x}

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 4 e^{3 x}

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 4 e^{3 x}

Graph

Beliebte Beispiele

1/6 y^{''}+6y=4tan(6t)-1/2 e^t

\frac{1}{6} y^{^{''}} + 6 y = 4 tan (6 t) - \frac{1}{2} e^{t}

y^{''''}+2y^{''}+y=3+cos(2x)

y^{^{''''}} + 2 y^{^{''}} + y = 3 + cos (2 x)

y^{''}+16y=-16sec(4x)

y^{^{''}} + 16 y = - 16 sec (4 x)

x^{''}+16x^'+80x=e^{-8t}

x^{^{''}} + 16 x^{^{'}} + 80 x = e^{- 8 t}

y^{''}+2y^'-y=t^{-1}*e^t

y^{^{''}} + 2 y^{^{'}} - y = t^{- 1} \cdot e^{t}