(3+x^8)(dy}{dx}=\frac{x^7)/y

解

(3 + x^{8}) \frac{d y}{d x} = \frac{x ^{7}}{y}

y = \frac{ln ( 3 + x ^{8} ) + c _{1}}{2}, y = - \frac{ln ( 3 + x ^{8} ) + c _{1}}{2}

解答ステップ

(3 + x^{8}) \frac{d y}{d x} = \frac{x ^{7}}{y}

分離可能 ODE を解く:

y = \frac{ln ( 3 + x ^{8} ) + c _{1}}{2}, y = - \frac{ln ( 3 + x ^{8} ) + c _{1}}{2}

y = \frac{ln ( 3 + x ^{8} ) + c _{1}}{2}, y = - \frac{ln ( 3 + x ^{8} ) + c _{1}}{2}