(dy)/(dx)=e^ysin(x)

解答

\frac{d y}{d x} = e^{y} sin (x)

y = - ln (cos (x) - c_{1})

求解步骤

\frac{d y}{d x} = e^{y} sin (x)

求解可分离方程:

y = - ln (cos (x) - c_{1})

y = - ln (cos (x) - c_{1})

\frac{d}{d x} (\frac{x ^{2}}{6 + x})

t an g e n t f (x) = \frac{1}{x + 2}, at x = 3

\frac{\partial}{\partial x} (\frac{1}{1 - x ^{4}})

(3 + x) d x = (e^{t} - e^{- t}) d t

\int (x^{1.1} + 9 x^{3.5}) d x