(4x-8)dx-(6y-10)dy=0

解

(4 x - 8) d x - (6 y - 10) d y = 0

y = \frac{5 + - 6 ( - x ^{2} + 4 x - c _{1} ) + 25}{3}, y = \frac{5 - - 6 ( - x ^{2} + 4 x - c _{1} ) + 25}{3}

解答ステップ

(4 x - 8) d x - (6 y - 10) d y = 0

分離可能 ODE を解く:

y = \frac{5 + - 6 ( - x ^{2} + 4 x - c _{1} ) + 25}{3}, y = \frac{5 - - 6 ( - x ^{2} + 4 x - c _{1} ) + 25}{3}

y = \frac{5 + - 6 ( - x ^{2} + 4 x - c _{1} ) + 25}{3}, y = \frac{5 - - 6 ( - x ^{2} + 4 x - c _{1} ) + 25}{3}