(x^2-2y^2)dy-2xydx=0

Lösung

(x^{2} - 2 y^{2}) d y - 2 x y d x = 0

y = \frac{1 + - 8 e ^{2 c_{1}} x ^{2} + 1}{4 e ^{c_{1}}}, y = \frac{1 - - 8 e ^{2 c_{1}} x ^{2} + 1}{4 e ^{c_{1}}}

Schritte zur Lösung

(x^{2} - 2 y^{2}) d y - 2 x y d x = 0

Solve using substitution:

y = \frac{1 + - 8 e ^{2 c_{1}} x ^{2} + 1}{4 e ^{c_{1}}}, y = \frac{1 - - 8 e ^{2 c_{1}} x ^{2} + 1}{4 e ^{c_{1}}}

y = \frac{1 + - 8 e ^{2 c_{1}} x ^{2} + 1}{4 e ^{c_{1}}}, y = \frac{1 - - 8 e ^{2 c_{1}} x ^{2} + 1}{4 e ^{c_{1}}}

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