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Beliebt Rechnen >

9xy^2-3+(9x^2y+4)(dy)/(dx)=0

Lösung

9 x y^{2} - 3 + (9 x^{2} y + 4) \frac{d y}{d x} = 0

Lösung

y = \frac{- 8 + 64 - 36 x ^{2} ( - 6 x - c _{1} )}{18 x ^{2}}, y = \frac{- 8 - 64 - 36 x ^{2} ( - 6 x - c _{1} )}{18 x ^{2}}

Schritte zur Lösung

9 x y^{2} - 3 + (9 x^{2} y + 4) \frac{d y}{d x} = 0

Solve exact ODE:

y = \frac{- 8 + 64 - 36 x ^{2} ( - 6 x - c _{1} )}{18 x ^{2}}, y = \frac{- 8 - 64 - 36 x ^{2} ( - 6 x - c _{1} )}{18 x ^{2}}

y = \frac{- 8 + 64 - 36 x ^{2} ( - 6 x - c _{1} )}{18 x ^{2}}, y = \frac{- 8 - 64 - 36 x ^{2} ( - 6 x - c _{1} )}{18 x ^{2}}

Graph

Beliebte Beispiele

\frac{d y}{d x} + 4 y = 6

integral of (x-2)^{-3}

\int (x - 2)^{- 3} d x

(\partial)/(\partial y)(2)

\frac{\partial}{\partial y} (2)

laplacetransform-5cos(5t)

l a pl a ce t r an s f or m - 5 cos (5 t)

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

x y \frac{d y}{d x} = x^{2} - y^{2}