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

Example 5 - Chapter 9 Class 12 Differential Equations - Part 2

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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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.