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Beliebt Rechnen >

(d^2y)/(dx^2)+x(dy)/(dx)=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + x \frac{d y}{d x} = 0

Lösung

y = \frac{π}{2} c_{1} erf (\frac{x}{2}) + c_{2}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + x \frac{d y}{d x} = 0

Solve using substitution:

y = \frac{π}{2} c_{1} erf (\frac{x}{2}) + c_{2}

y = \frac{π}{2} c_{1} erf (\frac{x}{2}) + c_{2}

Beliebte Beispiele

y^'=(x-4)e^{-2y},y(4)=ln(4)

y^{^{'}} = (x - 4) e^{- 2 y}, y (4) = ln (4)

derivative of 2x^{-14/5}

\frac{d}{d x} (2 x^{- \frac{14}{5}})

limit as x approaches 3 of (6x)/(x^2-9)

x \to 3 lim (\frac{6 x}{x ^{2} - 9})

integral of-t^2

\int - t^{2} d t

integral from 1 to 5 of 1/(sqrt(3x+1))

\int_{1}^{5} \frac{1}{3 x + 1} d x