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Beliebt Rechnen >

y^{''}+3/x y^'-8/(x^2)y=0

Lösung

y^{^{''}} + \frac{3}{x} y^{^{'}} - \frac{8}{x ^{2}} y = 0

Lösung

y = c_{1} x^{2} + \frac{c _{2}}{x ^{4}}

Schritte zur Lösung

y^{''} (x) + \frac{3}{x} y^{'} (x) - \frac{8}{x ^{2}} y = 0

Solve linear ODE:

y = c_{1} x^{2} + \frac{c _{2}}{x ^{4}}

y = c_{1} x^{2} + \frac{c _{2}}{x ^{4}}

Graph

Beliebte Beispiele

integral from-5 to 5 of 1/x

\int_{- 5}^{5} \frac{1}{x} d x

y^{''}+10y^'+25y=t^{-2}e^{-5t}

y^{^{''}} + 10 y^{^{'}} + 25 y = t^{- 2} e^{- 5 t}

(\partial)/(\partial x)(e^{2x}cos(3y))

\frac{\partial}{\partial x} (e^{2 x} cos (3 y))

derivative of x(4x-5^3)

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

integral from 0 to 2 of 4xe^x

\int_{0}^{2} 4 x e^{x} d x