Ex 9.3, 3 - Form differential equation: y = a e3x + b e-2x - Formation of Differntial equation when general solution given

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  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise

Transcript

Ex 9.3, 3 Form a differential equation representing the given family of curves by eliminating arbitrary constants and . = 3 + 2 = 3 + 2 Differentiating Both Sides w.r.t. = 3 + 2 = 3 3 + 2 2 =3 3 2 2 =3 3 2 2 Again differentiating w.r.t. = 3 3 2 2 =3 3 3 2 2 2 =9 3 +4 2 Subtracting (2) From (1) =9 3 +4 2 3 3 +2 2 =6 3 +6 2 =6( 3 + 2 ) =6y = is the required differential equation.

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