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Solving Partial Differential Equations Using the Method of Characteristics

Learn how to solve PDEs with the method of characteristics and plot results with parametric equations. Exercise provided by Prof. Chen.

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Solving Partial Differential Equations Using the Method of Characteristics

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  1. 國立台灣海洋大學Partial differential equation作業4 教授：陳正宗終生特聘教授 學生：徐胤承 學號：M98520034

  2. We had a PDE like this We could exercise the method of characteristics

  3. Then we were able to find the solution

  4. The movie that was seen below was form the answer of last page

  5. When T was at 45, we could plot these three figures

  6. Finally, we plotted the figures that was including two kinds of expression We used the parametric equation to draw this illustration

  7. We made the express in terms of x and y to find this

  8. The end • Thanks for comment

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