xy^2y^'=x+9

Lösung

x y^{2} y^{^{'}} = x + 9

y = 3 3 x + 27 ln (x) + c_{1}

Schritte zur Lösung

x y^{2} y^{'} (x) = x + 9

Solve separable ODE:

y = 3 3 x + 27 ln (x) + c_{1}

y = 3 3 x + 27 ln (x) + c_{1}

\int x^{n} a x^{n + 1} + b d x

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

\int_{0}^{1} 2 π (x + 10) x^{2} d x

d er i v a t i v e ln ∣ x ∣

\frac{d x}{d t} = x^{2} + \frac{1}{36}