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Beliebt Rechnen >

(dy)/(dx)=((1+x))/(xy)

Lösung

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

Lösung

y = 2 ln (x) + 2 x + c_{1}, y = - 2 ln (x) + 2 x + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = 2 ln (x) + 2 x + c_{1}, y = - 2 ln (x) + 2 x + c_{1}

y = 2 ln (x) + 2 x + c_{1}, y = - 2 ln (x) + 2 x + c_{1}

Graph

Beliebte Beispiele

y^'+5x^4y=x^4,y(0)=y^0

y^{^{'}} + 5 x^{4} y = x^{4}, y (0) = y^{0}

d x = x^{5} y d y

y^'=1+x+y^2+y^2x

y^{^{'}} = 1 + x + y^{2} + y^{2} x

(dy)/(dx)=\sqrt[3]{x(y-1)}

\frac{d y}{d x} = 3 x (y - 1)

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

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