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Beliebt Rechnen >

y^{''}-2y^'-15y=0

Lösung

y^{^{''}} - 2 y^{^{'}} - 15 y = 0

Lösung

y = c_{1} e^{5 t} + c_{2} e^{- 3 t}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 15 y = 0

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{- 3 t}

y = c_{1} e^{5 t} + c_{2} e^{- 3 t}

Graph

Beliebte Beispiele

(4y+yx^2)dy=(2x+xy^2)dx

(4 y + y x^{2}) d y = (2 x + x y^{2}) d x

derivative of 8e^{2x}x+12e^{2x}

\frac{d}{d x} (8 e^{2 x} x + 12 e^{2 x})

fläche 6-x^2,8-3x

a re a 6 - x^{2}, 8 - 3 x

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

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

integral from-1 to 1 of 2e^x

\int_{- 1}^{1} 2 e^{x} d x