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Beliebt Rechnen >

(2xy-9x^2)+(2y+x^2+1)(dy)/(dx)=0

Lösung

(2 x y - 9 x^{2}) + (2 y + x^{2} + 1) \frac{d y}{d x} = 0

Lösung

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

Schritte zur Lösung

(2 x y - 9 x^{2}) + (2 y + x^{2} + 1) \frac{d y}{d x} = 0

Solve exact ODE:

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

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

Graph

Beliebte Beispiele

steigung f(x)=-8x^2+8

s l o p e f (x) = - 8 x^{2} + 8

fläche y=x-1,y=0,x=9

a re a y = x - 1, y = 0, x = 9

derivative f(x)=x^e

d er i v a t i v e f (x) = x^{e}

integral from-infinity to 0 of 1/(6-9x)

\int_{- \infty}^{0} \frac{1}{6 - 9 x} d x

y^'-3y=7e^{3x},y(0)=0

y^{^{'}} - 3 y = 7 e^{3 x}, y (0) = 0