(dy)/(dx)=cos(5x)

解答

\frac{d y}{d x} = cos (5 x)

y = \frac{1}{5} sin (5 x) + c_{1}

求解步骤

\frac{d y}{d x} = cos (5 x)

替代

\frac{d y}{d x}

与

y^{'} (x)

y^{^{'}} (x) = cos (5 x)

若

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

则

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

y = \int cos (5 x) d x

\int cos (5 x) d x = \frac{1}{5} sin (5 x) + c_{1}

y = \frac{1}{5} sin (5 x) + c_{1}

d er i v a t i v e tan (u)

d er i v a t i v e 100 (1 + A e^{- t})^{- 1}

\int t^{2} cos (2 t) d t

\frac{d}{d x} ((- x^{3} - x^{2} + x) cos (x))

in v erse l a pl a ce \frac{1}{p ( p + 1 )}