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Beliebt Rechnen >

(dy}{dx}=\frac{xy+x)/y

Lösung

\frac{d y}{d x} = \frac{x y + x}{y}

Lösung

y = - W (- \frac{1}{e ^{\frac{- c _{1} + x ^{2}}{2}}}) - 1

Schritte zur Lösung

\frac{d y}{d x} = \frac{x y + x}{y}

Solve separable ODE:

y = - W (- \frac{1}{e ^{\frac{- c _{1} + x ^{2}}{2}}}) - 1

y = - W (- \frac{1}{e ^{\frac{- c _{1} + x ^{2}}{2}}}) - 1

Beliebte Beispiele

limit as x approaches 1000 of x^{2/3}

x \to 1000 lim (x^{\frac{2}{3}})

derivative of 1/3 x^3-5x-4/x

\frac{d}{d x} (\frac{1}{3} x^{3} - 5 x - \frac{4}{x})

integral of x*ln^5(x)

\int x \cdot ln^{5} (x) d x

y^{''}-4y^'+4y=e^x+xe^{2x}

y^{^{''}} - 4 y^{^{'}} + 4 y = e^{x} + x e^{2 x}

f (x) = cot (x^{2})