(dy)/(dx)y=arctan(8)x^3

解

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

y = \frac{arctan ( 8 ) x ^{4} + c _{1}}{2}, y = - \frac{arctan ( 8 ) x ^{4} + c _{1}}{2}

解答ステップ

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

分離可能 ODE を解く:

y = \frac{arctan ( 8 ) x ^{4} + c _{1}}{2}, y = - \frac{arctan ( 8 ) x ^{4} + c _{1}}{2}

y = \frac{arctan ( 8 ) x ^{4} + c _{1}}{2}, y = - \frac{arctan ( 8 ) x ^{4} + c _{1}}{2}