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Beliebt Rechnen >

(x+y)^2dx+(2xy+x^2-2)dy=0,y(1)=1

Lösung

(x + y)^{2} d x + (2 x y + x^{2} - 2) d y = 0, y (1) = 1

Lösung

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

Schritte zur Lösung

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

Solve exact ODE:

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

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

Graph

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