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Beliebt Rechnen >

y^{'''}-7y^{''}-8y^'=0

Lösung

y^{^{'''}} - 7 y^{^{''}} - 8 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{- t} + c_{3} e^{8 t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + c_{3} e^{8 t}

y = c_{1} + c_{2} e^{- t} + c_{3} e^{8 t}

Graph

Beliebte Beispiele

tangent f(x)= 2/(x^2),\at x=1

t an g e n t f (x) = \frac{2}{x ^{2}}, at x = 1

derivative of 1/2 cos^2(x/2)

\frac{d}{d x} (\frac{1}{2} cos^{2} (\frac{x}{2}))

integral of x^3*cos(x^2)

\int x^{3} \cdot cos (x^{2}) d x

derivative of (4x^3-7x^7)

\frac{d}{d x} ((4 x^{3} - 7 x)^{7})

integral of xsqrt(2x-x^2)

\int x 2 x - x^{2} d x