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Beliebt Rechnen >

(dy}{dx}(2y)+\frac{(1+y^2))/x =1

Lösung

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

Lösung

y = - 1 + \frac{x}{2} + \frac{c _{1}}{x}, y = - - 1 + \frac{x}{2} + \frac{c _{1}}{x}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = - 1 + \frac{x}{2} + \frac{c _{1}}{x}, y = - - 1 + \frac{x}{2} + \frac{c _{1}}{x}

y = - 1 + \frac{x}{2} + \frac{c _{1}}{x}, y = - - 1 + \frac{x}{2} + \frac{c _{1}}{x}

Graph

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