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人気のある微分積分 >

(dx)/(dt)= 3/2 tcos^2(x),x(0)=-1.4

解

\frac{d x}{d t} = \frac{3}{2} t cos^{2} (x), x (0) = - 1.4

解

x = arctan (\frac{3 t ^{2}}{4} - tan (\frac{7}{5})) + πn

解答ステップ

\frac{d x}{d t} = \frac{3}{2} t cos^{2} (x)

分離可能 ODE を解く:

x = arctan (\frac{3 t ^{2}}{4} - tan (\frac{7}{5})) + πn

x = arctan (\frac{3 t ^{2}}{4} - tan (\frac{7}{5})) + πn

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