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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- x^{2} - c_{1}} + 4, y = - e^{- x^{2} - c_{1}} + 4

Schritte zur Lösung

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

Solve separable ODE:

y = e^{- x^{2} - c_{1}} + 4, y = - e^{- x^{2} - c_{1}} + 4

y = e^{- x^{2} - c_{1}} + 4, y = - e^{- x^{2} - c_{1}} + 4

Graph

Beliebte Beispiele

(dy)/(dx)=9x^2y^2,y\ne 0

\frac{d y}{d x} = 9 x^{2} y^{2}, y \neq = 0

t y^{^{'}} + 2 y = 0

x y^{^{'}} = 6 y (1 + x^{3})

sqrt(x)(dy)/(dx)=e^{5y+sqrt(x)},x>0

x \frac{d y}{d x} = e^{5 y + x}, x > 0

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

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