(dy)/(dx)= 1/11 sqrt(y)cos^2(sqrt(y))

解

\frac{d y}{d x} = \frac{1}{11} y cos^{2} (y)

y = arctan^{2} (\frac{x + c _{1}}{22}) + 2 πn arctan (\frac{x + c _{1}}{22}) + π^{2} n^{2}

解答ステップ

\frac{d y}{d x} = \frac{1}{11} y cos^{2} (y)

分離可能 ODE を解く:

y = arctan^{2} (\frac{x + c _{1}}{22}) + 2 πn arctan (\frac{x + c _{1}}{22}) + π^{2} n^{2}

y = arctan^{2} (\frac{x + c _{1}}{22}) + 2 πn arctan (\frac{x + c _{1}}{22}) + π^{2} n^{2}