Recent content by michii15

  1. michii15

    I Find the only periodic solution of an ODE

    it jumps frome -1 to 1?
  2. michii15

    I Find the only periodic solution of an ODE

    but for c = 0 you won't have a continuous solution
  3. michii15

    I Find the only periodic solution of an ODE

    sorry forgot to mention the function should be continuous.
  4. michii15

    I Find the only periodic solution of an ODE

    Find the only periodic solution for 𝑦′+𝑦=𝑏(π‘₯) with 𝑏:ℝ→ℝ has a period of 2𝑇 and is 1 for π‘₯(0,𝑇) and βˆ’1 for π‘₯(βˆ’π‘‡,0). The ODE is easy to solve: 𝑦(π‘₯)=exp(βˆ’π‘₯)⋅𝑐+1 and 𝑦(π‘₯)=exp(βˆ’π‘₯)β‹…π‘βˆ’1. But how can I find the 𝑐 such that the solution is periodic with a period of 2𝑇? The solution is...
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