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Beliebt Rechnen >

(d^2y)/(dx^2)+12(dy)/(dx)+32y=160

Lösung

\frac{d ^{2} y}{d x ^{2}} + 12 \frac{d y}{d x} + 32 y = 160

Lösung

y = c_{1} e^{- 4 x} + c_{2} e^{- 8 x} + 5

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 12 \frac{d y}{d x} + 32 y = 160

Solve linear ODE:

y = c_{1} e^{- 4 x} + c_{2} e^{- 8 x} + 5

y = c_{1} e^{- 4 x} + c_{2} e^{- 8 x} + 5

Graph

Beliebte Beispiele

y^{''}-4y^'=16t+36,y(-2)=2,y^'(-2)=-1

y^{^{''}} - 4 y^{^{'}} = 16 t + 36, y (- 2) = 2, y^{^{'}} (- 2) = - 1

(d^2y)/(dx^2)+a(dy)/(dx)=b

\frac{d ^{2} y}{d x ^{2}} + a \frac{d y}{d x} = b

y^{''}+36y=12tan(6t)

y^{^{''}} + 36 y = 12 tan (6 t)

(-8x^{''}-16x^'+24)=8e^{2t}

(- 8 x^{^{''}} - 16 x^{^{'}} + 24) = 8 e^{2 t}

y^{''}-y^'+2y=4e^x

y^{^{''}} - y^{^{'}} + 2 y = 4 e^{x}