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Beliebt Rechnen >

x^3dx+(y+1)dy=0

Lösung

x^{3} d x + (y + 1) d y = 0

Lösung

y = \frac{- 4 + 16 - 8 ( - c _{1} + x ^{4} )}{4}, y = \frac{- 4 - 16 - 8 ( - c _{1} + x ^{4} )}{4}

Schritte zur Lösung

x^{3} d x + (y + 1) d y = 0

Solve separable ODE:

y = \frac{- 4 + 16 - 8 ( - c _{1} + x ^{4} )}{4}, y = \frac{- 4 - 16 - 8 ( - c _{1} + x ^{4} )}{4}

y = \frac{- 4 + 16 - 8 ( - c _{1} + x ^{4} )}{4}, y = \frac{- 4 - 16 - 8 ( - c _{1} + x ^{4} )}{4}

Graph

Beliebte Beispiele

2 x y y^{^{'}} = x + 3

e^{-(x^2+y^2)}(xdx+ydy)=0

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

x^{2} y d y - e^{y} d x = 0

y^'=(y+3)/(7t+50),y(2)=0

y^{^{'}} = \frac{y + 3}{7 t + 50}, y (2) = 0

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

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