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Beliebt Rechnen >

y^{''}+8y^'+15y=0

Lösung

y^{^{''}} + 8 y^{^{'}} + 15 y = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) + 8 y^{'} (t) + 15 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative f(x)=(2x)/(9x^2+1)

d er i v a t i v e f (x) = \frac{2 x}{9 x ^{2} + 1}

integral from 4 to 7 of x^2

\int_{4}^{7} x^{2} d x

integral of y^3e^{y^2}

\int y^{3} e^{y^{2}} d y

sum from n=5 to infinity of (9^n)/(10^n)

n = 5 \sum \infty \frac{9 ^{n}}{1 0 ^{n}}

derivative of sin(x-1/3 sin^3(x))

\frac{d}{d x} (sin (x) - \frac{1}{3} sin^{3} (x))