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Beliebt Rechnen >

(d^2y)/(dx^2)-8(dy)/(dx)+159=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 159 = 0

Lösung

y = c_{1} e^{8 x} + c_{2} + \frac{159 x}{8}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 159 = 0

Solve linear ODE:

y = c_{1} e^{8 x} + c_{2} + \frac{159 x}{8}

y = c_{1} e^{8 x} + c_{2} + \frac{159 x}{8}

Graph

Beliebte Beispiele

y^{''}-14y^'+49y=14x+3

y^{^{''}} - 14 y^{^{'}} + 49 y = 14 x + 3

y^{'''}+y^{''}-y^'-1=2(1+e^{-x})

y^{^{'''}} + y^{^{''}} - y^{^{'}} - 1 = 2 (1 + e^{- x})

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

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

y^{''}+4y= 2/(sin(2x))

y^{^{''}} + 4 y = \frac{2}{sin ( 2 x )}

3x^{''}+53x=5cos(4t)

3 x^{^{''}} + 53 x = 5 cos (4 t)