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Beliebt Rechnen >

y^{''}+8y^'+7y=0,y(0)=6,y^'(0)=-1

Lösung

y^{^{''}} + 8 y^{^{'}} + 7 y = 0, y (0) = 6, y^{^{'}} (0) = - 1

Lösung

y = (6 + \frac{5}{6}) e^{- t} - \frac{5}{6} e^{- 7 t}

Schritte zur Lösung

y^{''} (t) + 8 y^{'} (t) + 7 y = 0

Solve linear ODE:

y = (6 + \frac{5}{6}) e^{- t} - \frac{5}{6} e^{- 7 t}

y = (6 + \frac{5}{6}) e^{- t} - \frac{5}{6} e^{- 7 t}

Graph

Beliebte Beispiele

(d^2)/(dx^2)(x^4-6x^3)

\frac{d ^{2}}{d x ^{2}} (x^{4} - 6 x^{3})

(\partial)/(\partial x)((7x)/(x^2+y^2))

\frac{\partial}{\partial x} (\frac{7 x}{x ^{2} + y ^{2}})

laplacetransform sin(6(t-(5pi)/6))

l a pl a ce t r an s f or m sin (6 (t - \frac{5 π}{6}))

inverselaplace 1/(s(1+s))

in v erse l a pl a ce \frac{1}{s ( 1 + s )}

fläche y=x,y= x/3 ,y=2

a re a y = x, y = \frac{x}{3}, y = 2