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Beliebt Rechnen >

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

Lösung

\frac{d y}{d x} = x y^{2} + y^{2} + x + 1

Lösung

y = tan (\frac{x ^{2}}{2} + x + c_{1})

Schritte zur Lösung

\frac{d y}{d x} = x y^{2} + y^{2} + x + 1

Solve separable ODE:

y = tan (\frac{x ^{2}}{2} + x + c_{1})

y = tan (\frac{x ^{2}}{2} + x + c_{1})

Graph

Beliebte Beispiele

- 3 y^{^{'}} - 6 y = 0

xdx=-(ey)/(ey+6)dy

x d x = - \frac{ey}{ey + 6} d y

y^'+(x-10)y^'+y=0

y^{^{'}} + (x - 10) y^{^{'}} + y = 0

(d^2x)/(dx^2)+a*(dy)/(dx)=b*y^{-2}

\frac{d ^{2} x}{d x ^{2}} + a \cdot \frac{d y}{d x} = b \cdot y^{- 2}

(dp)/(dy)*p=-1/(2y^3)

\frac{d p}{d y} \cdot p = - \frac{1}{2 y ^{3}}