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Beliebt Rechnen >

y^{''}+9y= 3/2 sin(2t)

Lösung

y^{^{''}} + 9 y = \frac{3}{2} sin (2 t)

Lösung

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{3}{10} sin (2 t)

Schritte zur Lösung

y^{''} (t) + 9 y = \frac{3}{2} sin (2 t)

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{3}{10} sin (2 t)

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{3}{10} sin (2 t)

Graph

Beliebte Beispiele

y^{''}-2y^'-8y=10e^{3x}

y^{^{''}} - 2 y^{^{'}} - 8 y = 10 e^{3 x}

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

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

y^{''}-y^'-2y=5x+3

y^{^{''}} - y^{^{'}} - 2 y = 5 x + 3

6y^{''}+6y^'+73y=8cos(4x)

6 y^{^{''}} + 6 y^{^{'}} + 73 y = 8 cos (4 x)

(d^2y)/(dx^2)-(dy)/(dx)-6y=-e^x+12x

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - 6 y = - e^{x} + 12 x