ff^'(xx)=xx^3-xx^2-6xx

Lösung

f f^{^{'}} (xx) = x x^{3} - x x^{2} - 6 xx

f (x) = \frac{2 x ^{5}}{5} - \frac{x ^{4}}{2} - 4 x^{3} + c_{1}, f (x) = - \frac{2 x ^{5}}{5} - \frac{x ^{4}}{2} - 4 x^{3} + c_{1}

Schritte zur Lösung

f (x) f^{'} (x) = x x^{3} - x x^{2} - 6 xx

Solve separable ODE:

f (x) = \frac{2 x ^{5}}{5} - \frac{x ^{4}}{2} - 4 x^{3} + c_{1}, f (x) = - \frac{2 x ^{5}}{5} - \frac{x ^{4}}{2} - 4 x^{3} + c_{1}

f (x) = \frac{2 x ^{5}}{5} - \frac{x ^{4}}{2} - 4 x^{3} + c_{1}, f (x) = - \frac{2 x ^{5}}{5} - \frac{x ^{4}}{2} - 4 x^{3} + c_{1}

\frac{d}{d x} (e^{c o s h (x)} cos^{2} (x))

\int \frac{10 - 10 x}{1 - x} d x

\int \frac{x}{6 x - x ^{2}} d x

\frac{d}{d x} (sin (2 cos (3 x)))

\frac{d}{d x} (\frac{1}{10} + x e^{- x})