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Beliebt Rechnen >

yy^'=x-xy

Lösung

y y^{^{'}} = x - x y

Lösung

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

Schritte zur Lösung

y y^{'} (x) = x - 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

(dy)/(dt)=(e^t)/(2y)

\frac{d y}{d t} = \frac{e ^{t}}{2 y}

(dy)/(dx)=4y^2,ln(x)y(1)=-1

\frac{d y}{d x} = 4 y^{2}, ln (x) y (1) = - 1

y(dy)/(dx)+1/(sqrt(1-x^2))(y^2+1)=0

y \frac{d y}{d x} + \frac{1}{1 - x ^{2}} (y^{2} + 1) = 0

x^{^{'}} = e^{- x + c}

(dy)/(dx)=y^2x+y^2cos(x)

\frac{d y}{d x} = y^{2} x + y^{2} cos (x)