y^'=((2))/((x^3)+5x^{\frac{(2)){(3)}}}

Lösung

y^{^{'}} = \frac{( 2 )}{( x ^{3} ) + 5 x ^{\frac{( 2 )}{( 3 )}}}

y = \int \frac{2}{x ^{3} + 5 x ^{\frac{2}{3}}} d x

Schritte zur Lösung

y^{'} (x) = \frac{( 2 )}{( x ^{3} ) + 5 x ^{\frac{( 2 )}{( 3 )}}}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int \frac{2}{x ^{3} + 5 x ^{\frac{2}{3}}} d x

y = \int \frac{2}{x ^{3} + 5 x ^{\frac{2}{3}}} d x

f^{^{'}} (x) = 9 x^{2} + 10 x

\frac{y ^{^{'}} + 1}{x} = \frac{e ^{x}}{x ^{2}}

f^{^{'}} (x) = x^{\frac{1}{x}}

18 x + y^{^{'}} = 20, - 3 x y (1) = 2

2 y^{^{'}} = \frac{( 1 - sin ( x ) ) ^{- 1}}{2}