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Beliebt Rechnen >

x^2y^{''}+17xy^'+113y=0

Lösung

x^{2} y^{^{''}} + 17 x y^{^{'}} + 113 y = 0

Lösung

y = \frac{c _{1} cos ( 7 ln ( x ) ) + c _{2} sin ( 7 ln ( x ) )}{x ^{8}}

Schritte zur Lösung

x^{2} y^{''} (x) + 17 x y^{'} (x) + 113 y = 0

Solve linear ODE:

y = \frac{c _{1} cos ( 7 ln ( x ) ) + c _{2} sin ( 7 ln ( x ) )}{x ^{8}}

y = \frac{c _{1} cos ( 7 ln ( x ) ) + c _{2} sin ( 7 ln ( x ) )}{x ^{8}}

Graph

Beliebte Beispiele

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

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

sum from n=0 to infinity of 7/(3^n)

n = 0 \sum \infty \frac{7}{3 ^{n}}

derivative of cosh(kx)

\frac{d}{d x} (cosh (k x))

integral of 1/(tan^2(u)+1)

\int \frac{1}{tan ^{2} ( u ) + 1} d u

limit as x approaches 1-of 1/(x^2-1)

x \to 1 - lim (\frac{1}{x ^{2} - 1})