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Beliebt Rechnen >

x^2y^{''}+7xy^'+8y=0,y(1)=0,y^'(1)=-5

Lösung

x^{2} y^{^{''}} + 7 x y^{^{'}} + 8 y = 0, y (1) = 0, y^{^{'}} (1) = - 5

Lösung

y = - \frac{5}{2 x ^{2}} + \frac{5}{2 x ^{4}}

Schritte zur Lösung

x^{2} y^{''} (x) + 7 x y^{'} (x) + 8 y = 0

Solve linear ODE:

y = - \frac{5}{2 x ^{2}} + \frac{5}{2 x ^{4}}

y = - \frac{5}{2 x ^{2}} + \frac{5}{2 x ^{4}}

Graph

Beliebte Beispiele

derivative of (x^3/2+1/(6x))

\frac{d}{d x} (\frac{x ^{3}}{2} + \frac{1}{6 x})

integral of xsqrt(2x^2-1)

\int x 2 x^{2} - 1 d x

\frac{d}{d t} (2 t - 3)

derivative of arctan(ln(4x^3))

\frac{d}{d x} (arctan (ln (4) x^{3}))

integral of 4x+9

\int 4 x + 9 d x