(dy)/(dx)=log_{10}(x)

解

\frac{d y}{d x} = lo g_{10} (x)

y = x lo g_{10} (x) - \frac{x}{ln ( 10 )} + c_{1}

解答ステップ

\frac{d y}{d x} = lo g_{10} (x)

代用

\frac{d y}{d x}

と

y^{'} (x)

y^{^{'}} (x) = lo g_{10} (x)

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

であれば

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

y = \int lo g_{10} (x) d x

\int lo g_{10} (x) d x = x lo g_{10} (x) - \frac{1}{ln ( 10 )} x + c_{1}

y = x lo g_{10} (x) - \frac{1}{ln ( 10 )} x + c_{1}

簡素化

y = x lo g_{10} (x) - \frac{x}{ln ( 10 )} + c_{1}