y-xy^'=a(1+x^2y^')

Lösung

y - x y^{^{'}} = a (1 + x^{2} y^{^{'}})

y = - \frac{a c _{1} x}{1 + a x} + a

Schritte zur Lösung

y - x y^{'} (x) = a (1 + x^{2} y^{'} (x))

Solve separable ODE:

y = - \frac{a c _{1} x}{1 + a x} + a

y = - \frac{a c _{1} x}{1 + a x} + a

x \to 3 lim (\frac{2 x - 9}{x - 3})

\frac{\partial}{\partial x} (x^{3} y z^{2} + 8 yz)

\int \frac{1}{cos ^{2} ( x ) + 5 cos ( x ) + 6} d x

\int 10 x^{3} + 2 x^{2} + \frac{1}{2} x + 3 d x

\frac{d y}{d x} = (y - 5)^{2}