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Beliebt Rechnen >

xy(dx)/(dy)=y+2

Lösung

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

Lösung

y = 2 W (\frac{1}{2 e ^{\frac{- x ^{2} - c _{1}}{4}}})

Schritte zur Lösung

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

Solve separable ODE:

y = 2 W (\frac{1}{2 e ^{\frac{- x ^{2} - c _{1}}{4}}})

y = 2 W (\frac{1}{2 e ^{\frac{- x ^{2} - c _{1}}{4}}})

Beliebte Beispiele

y^'=(cos(x)e^{sin(x)})/(2y)

y^{^{'}} = \frac{cos ( x ) e ^{s i n (x)}}{2 y}

(dP)/(dt)=5sqrt(Pt),P(1)=5

\frac{d P}{d t} = 5 Pt, P (1) = 5

cos(y)(2ln(x)-x^3)(dy)/(dx)= 2/x-3x^2

cos (y) (2 ln (x) - x^{3}) \frac{d y}{d x} = \frac{2}{x} - 3 x^{2}

(dy}{dx}y=-arccot(\frac{6x)/3)

\frac{d y}{d x} y = - arccot (\frac{6 x}{3})

(dy}{dx}=-xy+\frac{4x)/y

\frac{d y}{d x} = - x y + \frac{4 x}{y}