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Beliebt Rechnen >

10y^{''}+20y^'+6260y=100

Lösung

10 y^{^{''}} + 20 y^{^{'}} + 6260 y = 100

Lösung

y = e^{- t} (c_{1} cos (25 t) + c_{2} sin (25 t)) + \frac{5}{313}

Schritte zur Lösung

10 y^{''} (t) + 20 y^{'} (t) + 6260 y = 100

Solve linear ODE:

y = e^{- t} (c_{1} cos (25 t) + c_{2} sin (25 t)) + \frac{5}{313}

y = e^{- t} (c_{1} cos (25 t) + c_{2} sin (25 t)) + \frac{5}{313}

Graph

Beliebte Beispiele

y^{''}+2y^'-8y=24e^{2t}

y^{^{''}} + 2 y^{^{'}} - 8 y = 24 e^{2 t}

(d^2y)/(dx^2)-5(dy)/(dx)+6y=x^3+x

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = x^{3} + x

y^{''}+10y^'+16=0

y^{^{''}} + 10 y^{^{'}} + 16 = 0

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

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

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

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