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Beliebt Rechnen >

y^{''}+153.06y^'+12739.6y=191094.97

Lösung

y^{^{''}} + 153.06 y^{^{'}} + 12739.6 y = 191094.97

Lösung

y = e^{- \frac{7653 t}{100}} (c_{1} cos (\frac{275310364 t}{200}) + c_{2} sin (\frac{275310364 t}{200})) + \frac{19109497}{1273960}

Schritte zur Lösung

y^{''} (t) + 153.06 y^{'} (t) + 12739.6 y = 191094.97

Solve linear ODE:

y = e^{- \frac{7653 t}{100}} (c_{1} cos (\frac{275310364 t}{200}) + c_{2} sin (\frac{275310364 t}{200})) + \frac{19109497}{1273960}

y = e^{- \frac{7653 t}{100}} (c_{1} cos (\frac{275310364 t}{200}) + c_{2} sin (\frac{275310364 t}{200})) + \frac{19109497}{1273960}

Graph

Beliebte Beispiele

(d^3y)/(dx^3)+y=e^{-x}+1

\frac{d ^{3} y}{d x ^{3}} + y = e^{- x} + 1

(d^2y)/(dx^2)+(dy)/(dx)-20y=e^{-5x}

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 20 y = e^{- 5 x}

y^{''}-y^'-16=0

y^{^{''}} - y^{^{'}} - 16 = 0

y^{''}+40y^'+6250y=100cos(10t)

y^{^{''}} + 40 y^{^{'}} + 6250 y = 100 cos (10 t)

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

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