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人気のある微分積分 >

y^'=(cos^2(t))(cos^2(2y))

解

y^{^{'}} = (cos^{2} (t)) (cos^{2} (2 y))

解

y = \frac{arctan ( t + \frac{1}{2} sin ( 2 t ) + c _{1} )}{2} + \frac{πn}{2}

解答ステップ

y^{'} (t) = (cos^{2} (t)) (cos^{2} (2 y))

分離可能 ODE を解く:

y = \frac{arctan ( t + \frac{1}{2} sin ( 2 t ) + c _{1} )}{2} + \frac{πn}{2}

y = \frac{arctan ( t + \frac{1}{2} sin ( 2 t ) + c _{1} )}{2} + \frac{πn}{2}

グラフ

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