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

Lösung

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

y = \frac{3 - 3 x ^{2} + 9 - 18 x ^{2} - 3 x ^{4} + 36 c _{1} x}{6 x}, y = \frac{3 - 3 x ^{2} - 9 - 18 x ^{2} - 3 x ^{4} + 36 c _{1} x}{6 x}

Schritte zur Lösung

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

Solve exact ODE:

y = \frac{3 - 3 x ^{2} + 9 - 18 x ^{2} - 3 x ^{4} + 36 c _{1} x}{6 x}, y = \frac{3 - 3 x ^{2} - 9 - 18 x ^{2} - 3 x ^{4} + 36 c _{1} x}{6 x}

y = \frac{3 - 3 x ^{2} + 9 - 18 x ^{2} - 3 x ^{4} + 36 c _{1} x}{6 x}, y = \frac{3 - 3 x ^{2} - 9 - 18 x ^{2} - 3 x ^{4} + 36 c _{1} x}{6 x}

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