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Beliebt Rechnen >

(d^2y)/(dx^2)+11(dy)/(dx)+28y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + 11 \frac{d y}{d x} + 28 y = 0

Lösung

y = c_{1} e^{- 4 x} + c_{2} e^{- 7 x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 11 \frac{d y}{d x} + 28 y = 0

Solve linear ODE:

y = c_{1} e^{- 4 x} + c_{2} e^{- 7 x}

y = c_{1} e^{- 4 x} + c_{2} e^{- 7 x}

Graph

Beliebte Beispiele

y^{''''}+y^{'''}-5y^{''}-3y^'+1/2 y=0

y^{^{''''}} + y^{^{'''}} - 5 y^{^{''}} - 3 y^{^{'}} + \frac{1}{2} y = 0

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

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

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(2 D^{5} - 7 D^{4} + 12 D^{3} + 8 D^{2}) y = 0

y^{''}+22y^'+2y=0

y^{^{''}} + 22 y^{^{'}} + 2 y = 0

y^{''}+4y^'+29y=0,y(0)=2,y^'(0)=0

y^{^{''}} + 4 y^{^{'}} + 29 y = 0, y (0) = 2, y^{^{'}} (0) = 0