(solution) Solve for the First Order, Ordinary DE by: x dy/dx = xe 2y/x + y

(solution) Solve for the First Order, Ordinary DE by: x dy/dx = xe 2y/x + y

Solve for the First Order, Ordinary DE by: 

x dy/dx = xe2y/x  + y

  1. Separation of variables
  2. With homogeneous coefficients
  3. With exact coefficients
  4. Linear
  5. Bernoulli

Find the general solution of the following:

1. (8D3 – 4D2 – 2D + 1)y = 0

2. (D4 – 2D3 + 5D2 – 8D + 4)y = 0

3. (D5 – 2D3 – 2D2 – 3D – 2)y = 0