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

Lösung

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

y = - \frac{1}{arctan ( x ) + c _{1}} - \frac{arctan ( x )}{arctan ( x ) + c _{1}} - \frac{c _{1}}{arctan ( x ) + c _{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{1}{arctan ( x ) + c _{1}} - \frac{arctan ( x )}{arctan ( x ) + c _{1}} - \frac{c _{1}}{arctan ( x ) + c _{1}}

y = - \frac{1}{arctan ( x ) + c _{1}} - \frac{arctan ( x )}{arctan ( x ) + c _{1}} - \frac{c _{1}}{arctan ( x ) + c _{1}}

\int (x^{3} + x^{2})^{12} (3 x^{2} + 2 x) d x

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