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人気のある微分積分 >

y^'-y=4sin(3t)

解

y^{^{'}} - y = 4 sin (3 t)

解

y = \frac{2 e ^{t} ( - 3 e ^{- t} cos ( 3 t ) - e ^{- t} sin ( 3 t ) )}{5} + c_{1} e^{t}

解答ステップ

y^{'} (t) - y = 4 sin (3 t)

線形 ODE を解く:

y = \frac{2 e ^{t} ( - 3 e ^{- t} cos ( 3 t ) - e ^{- t} sin ( 3 t ) )}{5} + c_{1} e^{t}

y = \frac{2 e ^{t} ( - 3 e ^{- t} cos ( 3 t ) - e ^{- t} sin ( 3 t ) )}{5} + c_{1} e^{t}

グラフ

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