请解ODE:reduce to first order and solve,showing each step in detaily''-y'=2xy''=3y'y''+(y')^3*cosy=0

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请解ODE:reduce to first order and solve,showing each step in detaily''-y'=2xy''=3y'y''+(y')^3*cosy=0
请解ODE:reduce to first order and solve,showing each step in detail
y''-y'=
2xy''=3y'
y''+(y')^3*cosy=0

请解ODE:reduce to first order and solve,showing each step in detaily''-y'=2xy''=3y'y''+(y')^3*cosy=0
降阶法:


你有问题也可以在这里向我提问:

(1)第一道题是y''-y'=0吗?如果是,令y'=z,则z'-z=0,所以z=Cexp(x)即y'=Cexp(x),积分,得到

                  y=Cexp(x)+D

          C,D为积分常数

  (2)(3)问不太好在网页上编辑公式,见下面的截图