Example 5 - Form differential equation y = a sin (x + b) - Examples

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  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
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Example 5 Form the differential equation representing the family of curves = sin + , , are arbitrary constants. The numbers of constants, is equal to the number of time we differentiate Here, there are two constants , So, we differentiate twice = + = + = + Now, 2 2 = = + = a sin + 2 2 = + 2 = y 2 2 + =0 Hence, our differential Equation is + =

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