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Beliebt Rechnen >

y^{''}+ay^'+by=0

Lösung

y^{^{''}} + a y^{^{'}} + b y = 0

Lösung

y = c_{1} e^{\frac{t ( - a + a ^{2} - 4 b )}{2}} + c_{2} e^{\frac{t ( - a - a ^{2} - 4 b )}{2}}

Schritte zur Lösung

y^{''} (t) + a y^{'} (t) + b y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t ( - a + a ^{2} - 4 b )}{2}} + c_{2} e^{\frac{t ( - a - a ^{2} - 4 b )}{2}}

y = c_{1} e^{\frac{t ( - a + a ^{2} - 4 b )}{2}} + c_{2} e^{\frac{t ( - a - a ^{2} - 4 b )}{2}}

Graph

Beliebte Beispiele

integral of xsqrt(a^2-x^2)

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

derivative f(x)=sqrt((x^2*7^x)^7)

d er i v a t i v e f (x) = (x^{2} \cdot 7^{x})^{7}

limit as x approaches infinity of (sin(2x))/x

x \to \infty lim (\frac{sin ( 2 x )}{x})

fläche x=4y-8,x=sqrt(4y+1)

a re a x = 4 y - 8, x = 4 y + 1

integral of 3cot(x)

\int 3 cot (x) d x