0.4241(y-25)+70x=-10845.81*(dy)/(dx)

解

0.4241 (y - 25) + 70 x = - 10845.81 \cdot \frac{d y}{d x}

y = - 165.05541 \dots e^{2.28255 E - 14 x} x + 4221104.06664 \dots e^{2.28255 E - 14 x} + \frac{c _{1}}{e ^{0.00003 \dots x}}

解答ステップ

0.4241 (y - 25) + 70 x = - 10845.81 \cdot \frac{d y}{d x}

線形 ODE を解く:

y = - 165.05541 \dots e^{2.28255 E - 14 x} x + 4221104.06664 \dots e^{2.28255 E - 14 x} + \frac{c _{1}}{e ^{0.00003 \dots x}}

y = - 165.05541 \dots e^{2.28255 E - 14 x} x + 4221104.06664 \dots e^{2.28255 E - 14 x} + \frac{c _{1}}{e ^{0.00003 \dots x}}