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Last updated at May 29, 2018 by Teachoo
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 + =