10x+(dy)/(dx)=0

解答

10 x + \frac{d y}{d x} = 0

y = - 5 x^{2} + c_{1}

求解步骤

10 x + \frac{d y}{d x} = 0

替代

\frac{d y}{d x}

与

y^{'} (x)

10 x + y^{^{'}} (x) = 0

整理

y^{'} (x) : y^{'} (x) = - 10 x

若

f^{^{'}} (x) = g (x)

则

f (x) = \int g (x) d x

y = \int - 10 x d x

\int - 10 x d x = - 5 x^{2} + c_{1}

y = - 5 x^{2} + c_{1}

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