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(A) $a_{1} \frac{d^{2} y}{d x^{2}}+a_{2} y \frac{d y}{d x}+a_{3} y=a_{4}$
(B) $a_{1} \frac{d^{3} y}{d x^{3}}+a_{2} y=a_{3}$
(C) $a_{1} \frac{d^{2} y}{d x^{2}}+a_{2} x \frac{d y}{d x}+a_{3} x^{2} y=0$

 

  1. Non-liner differential equation
  2. Linear differential equation with constant coefficients
  3. Linear homogeneous differential equation
  4. Non-linear homogeneous differential equation
  5. Non-linear first order differential equation
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