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Beliebt Rechnen >

y^{''}+4000y^'+4000000y=36

Lösung

y^{^{''}} + 4000 y^{^{'}} + 4000000 y = 36

Lösung

y = c_{1} e^{- 2000 t} + c_{2} t e^{- 2000 t} + \frac{9}{1000000}

Schritte zur Lösung

y^{''} (t) + 4000 y^{'} (t) + 4000000 y = 36

Solve linear ODE:

y = c_{1} e^{- 2000 t} + c_{2} t e^{- 2000 t} + \frac{9}{1000000}

y = c_{1} e^{- 2000 t} + c_{2} t e^{- 2000 t} + \frac{9}{1000000}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+14(dy)/(dx)+49y=4e^{5x}

\frac{d ^{2} y}{d x ^{2}} + 14 \frac{d y}{d x} + 49 y = 4 e^{5 x}

y^{^{''}} + 3 y + 2 = 0

y^{''}-14y^'+49y=21x+6

y^{^{''}} - 14 y^{^{'}} + 49 y = 21 x + 6

y^{''}-8y^'+16=0,y(0)=4,y(1)=5

y^{^{''}} - 8 y^{^{'}} + 16 = 0, y (0) = 4, y (1) = 5

4y^{''}+6y^'+25y=4cos(2t)

4 y^{^{''}} + 6 y^{^{'}} + 25 y = 4 cos (2 t)