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Beliebt Rechnen >

y^{''}-10y^'+25y=0

Lösung

y^{^{''}} - 10 y^{^{'}} + 25 y = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) - 10 y^{'} (t) + 25 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

sum from n=0 to infinity of (2^n)/(n+1)

n = 0 \sum \infty \frac{2 ^{n}}{n + 1}

derivative s/(s^2+1)

d er i v a t i v e \frac{s}{s ^{2} + 1}

derivative-1/((2x+3)^{3/2)}

d er i v a t i v e - \frac{1}{( 2 x + 3 ) ^{\frac{3}{2}}}

integral of 5x^3(x-5)^{-4}

\int 5 x^{3} (x - 5)^{- 4} d x

inverselaplace (s+2)/((s-1)(s+6))

in v erse l a pl a ce \frac{s + 2}{( s - 1 ) ( s + 6 )}