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Beliebt Rechnen >

(dy)/(dx)=y^2+y

Lösung

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

Lösung

y = \frac{e ^{x + c_{1}}}{1 - e ^{x + c_{1}}}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{e ^{x + c_{1}}}{1 - e ^{x + c_{1}}}

y = \frac{e ^{x + c_{1}}}{1 - e ^{x + c_{1}}}

Graph

Beliebte Beispiele

derivative y=arccos(x)

d er i v a t i v e y = arccos (x)

limit as x approaches pi of sin(5/3 x)

x \to π lim (sin (\frac{5}{3} x))

(\partial)/(\partial y)(xyz+xy^4+yz^4+zx^4)

\frac{\partial}{\partial y} (x yz + x y^{4} + y z^{4} + z x^{4})

inverselaplace 3/(s^2+2s+1)

in v erse l a pl a ce \frac{3}{s ^{2} + 2 s + 1}

tangent y=-x^3,(1,-1)

t an g e n t y = - x^{3}, (1, - 1)