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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{7 t} (b + \frac{8 - 7 b}{8}) - \frac{e ^{- t} ( 8 - 7 b )}{8}

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) - 7 y = 0

Solve linear ODE:

y = e^{7 t} (b + \frac{8 - 7 b}{8}) - \frac{e ^{- t} ( 8 - 7 b )}{8}

y = e^{7 t} (b + \frac{8 - 7 b}{8}) - \frac{e ^{- t} ( 8 - 7 b )}{8}

Graph

Beliebte Beispiele

integral of ln(x)x'

\int ln (x) x^{'} d x

derivative of 3e^{x^2+x}

\frac{d}{d x} (3 e^{x^{2} + x})

y y^{^{'}} = \frac{7}{x}

integral of 2x-1/(1+x^2)

\int 2 x - \frac{1}{1 + x ^{2}} d x

integral of (x^2+x+1)/(x^2-x)

\int \frac{x ^{2} + x + 1}{x ^{2} - x} d x