(dy)/(dx)=yx^9sin(x^{10}),y(0)=6

解答

\frac{d y}{d x} = y x^{9} sin (x^{10}), y (0) = 6

y = 6 e^{- \frac{1}{10} c o s (x^{10}) + \frac{1}{10}}

求解步骤

\frac{d y}{d x} = y x^{9} sin (x^{10})

求解可分离方程:

y = 6 e^{- \frac{1}{10} c o s (x^{10}) + \frac{1}{10}}

y = 6 e^{- \frac{1}{10} c o s (x^{10}) + \frac{1}{10}}

\frac{d}{d s} (\frac{s}{s ^{2} + 16})

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

d er i v a t i v e arctan (\frac{9}{x}) + arctan (\frac{3}{x})

in v erse l a pl a ce \frac{s + 3}{s ^{2} + 6 s + 10}

\frac{d}{d x} (5^{x} + 5 cos (\frac{5 x}{2}))