(dy}{dx}=\frac{x^2)/9+7/9

解

\frac{d y}{d x} = \frac{x ^{2}}{9} + \frac{7}{9}

y = \frac{x ^{3}}{27} + \frac{7}{9} x + c_{1}

解答ステップ

\frac{d y}{d x} = \frac{x ^{2}}{9} + \frac{7}{9}

代用

\frac{d y}{d x}

と

y^{'} (x)

y^{^{'}} (x) = \frac{x ^{2}}{9} + \frac{7}{9}

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

であれば

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

y = \int \frac{x ^{2}}{9} + \frac{7}{9} d x

\int \frac{x ^{2}}{9} + \frac{7}{9} d x = \frac{x ^{3}}{27} + \frac{7}{9} x + c_{1}

y = \frac{x ^{3}}{27} + \frac{7}{9} x + c_{1}