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Procedure to Form a Differential Equation that will Represent a Given Family of Curves

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Procedure to Form a Differential Equation that will Represent a Given Family of Curves

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To form a differential equation we follow the following steps:

  • Step 1. Write the given equation involving independent variable (x), dependent variable (y) and arbitrary constants.
  • Step 2. Obtain the number of arbitrary constants.
  • Step 3. Differentiate the given equation as many times as the number of arbitrary constants.
  • Step 4. Eliminate the arbitrary constants from equation getting from step 3 and equation getting from step 1.
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