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Beliebt Rechnen >

y^{''}+5y=cos(7t)

Lösung

y^{^{''}} + 5 y = cos (7 t)

Lösung

y = c_{1} cos (5 t) + c_{2} sin (5 t) - \frac{1}{44} cos (7 t)

Schritte zur Lösung

y^{''} (t) + 5 y = cos (7 t)

Solve linear ODE:

y = c_{1} cos (5 t) + c_{2} sin (5 t) - \frac{1}{44} cos (7 t)

y = c_{1} cos (5 t) + c_{2} sin (5 t) - \frac{1}{44} cos (7 t)

Graph

Beliebte Beispiele

y^{''}+5y^'+6y=e^{-x}+sin(x)

y^{^{''}} + 5 y^{^{'}} + 6 y = e^{- x} + sin (x)

y^{''}+2y^'=cos(4x)

y^{^{''}} + 2 y^{^{'}} = cos (4 x)

2x^{''}+4x+20x=20\H(t)

2 x^{^{''}} + 4 x + 20 x = 20 H (t)

2y^{''}-y^'-y=25e^{-x}

2 y^{^{''}} - y^{^{'}} - y = 25 e^{- x}

(d^2y)/(dx^2)-2(dy)/(dx)+5y=e^xsin(2x)

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + 5 y = e^{x} sin (2 x)