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Beliebt Rechnen >

x^2y^{''}-xy^'-3y=0

Lösung

x^{2} y^{^{''}} - x y^{^{'}} - 3 y = 0

Lösung

y = c_{1} x^{3} + \frac{c _{2}}{x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} x^{3} + \frac{c _{2}}{x}

y = c_{1} x^{3} + \frac{c _{2}}{x}

Graph

Beliebte Beispiele

(xdy)/(dx)= 1/(y^3)

\frac{x d y}{d x} = \frac{1}{y ^{3}}

(dy)/(dx)=(4+3x)^4

\frac{d y}{d x} = (4 + 3 x)^{4}

integral of e^{tx}*1/θ e^{-x/θ}

\int e^{t x} \cdot \frac{1}{θ} e^{- \frac{x}{θ}} d x

x^2y^{''}+2xy^'-6y=0

x^{2} y^{^{''}} + 2 x y^{^{'}} - 6 y = 0

limit as x approaches-2-of 1/((x+2)^5)

x \to - 2 - lim (\frac{1}{( x + 2 ) ^{5}})