v(dv)/(dx)=-0.05v-9.8

解

v \frac{d v}{d x} = - 0.05 v - 9.8

v = - \frac{W ( - \frac{1}{9.8 e ^{\frac{- x - c _{1}}{3920} - 2.04082 E - 16}} )}{0.00510 \dots} - \frac{1}{0.00510 \dots}

解答ステップ

v \frac{d v}{d x} = - 0.05 v - 9.8

分離可能 ODE を解く:

v = - \frac{W ( - \frac{1}{9.8 e ^{\frac{- x - c _{1}}{3920} - 2.04082 E - 16}} )}{0.00510 \dots} - \frac{1}{0.00510 \dots}

v = - \frac{W ( - \frac{1}{9.8 e ^{\frac{- x - c _{1}}{3920} - 2.04082 E - 16}} )}{0.00510 \dots} - \frac{1}{0.00510 \dots}