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Beliebt Rechnen >

(x+y)^2dx+(2xy+x^2-5)dy=0,y(1)=1

Lösung

(x + y)^{2} d x + (2 x y + x^{2} - 5) d y = 0, y (1) = 1

Lösung

y = \frac{15 - 3 x ^{2} + 225 - 90 x ^{2} - 3 x ^{4} + 36 c _{1} x}{6 x}, y = \frac{15 - 3 x ^{2} - 225 - 90 x ^{2} - 3 x ^{4} + 36 c _{1} x}{6 x}

Schritte zur Lösung

(x + y)^{2} d x + (2 x y + x^{2} - 5) d y = 0

Solve exact ODE:

y = \frac{15 - 3 x ^{2} + 225 - 90 x ^{2} - 3 x ^{4} + 36 c _{1} x}{6 x}, y = \frac{15 - 3 x ^{2} - 225 - 90 x ^{2} - 3 x ^{4} + 36 c _{1} x}{6 x}

y = \frac{15 - 3 x ^{2} + 225 - 90 x ^{2} - 3 x ^{4} + 36 c _{1} x}{6 x}, y = \frac{15 - 3 x ^{2} - 225 - 90 x ^{2} - 3 x ^{4} + 36 c _{1} x}{6 x}

Graph

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