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人気のある微分積分 >

y^'=((4t^3+1))/((2y-6))

解

y^{^{'}} = \frac{( 4 t ^{3} + 1 )}{( 2 y - 6 )}

解

y = 3 + t^{4} + t + c_{1} + 9, y = 3 - t^{4} + t + c_{1} + 9

解答ステップ

y^{'} (t) = \frac{( 4 t ^{3} + 1 )}{( 2 y - 6 )}

分離可能 ODE を解く:

y = 3 + t^{4} + t + c_{1} + 9, y = 3 - t^{4} + t + c_{1} + 9

y = 3 + t^{4} + t + c_{1} + 9, y = 3 - t^{4} + t + c_{1} + 9

グラフ

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