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Beliebt Rechnen >

b*y=(a-v^2)y^{''}

Lösung

b \cdot y = (a - v^{2}) y^{^{''}}

Lösung

y = c_{1} e^{\frac{b}{a - v ^{2}} t} + c_{2} e^{- \frac{b}{a - v ^{2}} t}

Schritte zur Lösung

b \cdot y = (a - v^{2}) y^{''} (t)

Solve linear ODE:

y = c_{1} e^{\frac{b}{a - v ^{2}} t} + c_{2} e^{- \frac{b}{a - v ^{2}} t}

y = c_{1} e^{\frac{b}{a - v ^{2}} t} + c_{2} e^{- \frac{b}{a - v ^{2}} t}

Graph

Beliebte Beispiele

y^{''}=9y^'-20y

y^{^{''}} = 9 y^{^{'}} - 20 y

y^{''}-4y^{''}-5y=0

y^{^{''}} - 4 y^{^{''}} - 5 y = 0

0.25x^{''}+sqrt(2)x^'+2x=0

0.25 x^{^{''}} + 2 x^{^{'}} + 2 x = 0

y^{''}-5y^'-14y=0,y(0)=α,y^'(0)=-14

y^{^{''}} - 5 y^{^{'}} - 14 y = 0, y (0) = α, y^{^{'}} (0) = - 14

(d^2x)/(dt^2)+12(dx)/(dt)+32x=0

\frac{d ^{2} x}{d t ^{2}} + 12 \frac{d x}{d t} + 32 x = 0