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人気のある微分積分 >

cos^2(x)sin(x)((dy)/(dx))+(cos^3(x))y=1

解

cos^{2} (x) sin (x) (\frac{d y}{d x}) + (cos^{3} (x)) y = 1

解

y = \frac{tan ( x )}{sin ( x )} + \frac{c _{1}}{sin ( x )}

解答ステップ

cos^{2} (x) sin (x) (\frac{d y}{d x}) + (cos^{3} (x)) y = 1

線形 ODE を解く:

y = \frac{tan ( x )}{sin ( x )} + \frac{c _{1}}{sin ( x )}

y = \frac{tan ( x )}{sin ( x )} + \frac{c _{1}}{sin ( x )}

グラフ

人気の例

integral of ((sin(x))/x)

\int (\frac{sin ( x )}{x}) d x

(dy)/(dt)=-\sqrt[3]{y}

\frac{d y}{d t} = - 3 y

(dy)/(dx)=xsqrt(x-27)

\frac{d y}{d x} = x x - 27

derivative of 5cot(2/x)

\frac{d}{d x} (5 cot (\frac{2}{x}))

inverselaplace 8/(3s^2+12)+3/(s^2-49)

in v erse l a pl a ce \frac{8}{3 s ^{2} + 12} + \frac{3}{s ^{2} - 49}