[新しいコレクション] X(x-1)dy/dx-(x-2)y=x^3(2x-1) 446031-What Is X 2 X X 2
X X 1 Dy Dx X 2 Y X 3 2x 1 𝑦=1 when 𝑥=0 (𝑥^3𝑥^2𝑥1) 𝑑𝑦/𝑑𝑥=2𝑥^2𝑥 𝑑𝑦 = (2𝑥^2 𝑥)/ (𝑥^3 𝑥^2 𝑥 1) 𝑑𝑥 IntegratingLet's simplify it First dy/dx = (y/x 1)/ (y/x 1) Taking y = vx dy/dx = v xdv/dx Therefore, dx/x = (v 1)dv / (v^2 1) Integrating we get log (1/x) logc = arctan (y/x) 1/2 log How to show that What is x 2 x x 2