6. Non - Linear DifferentialEquation
• The term homogenous and non homogenous have no
meaningfor nonlinearequation.
Examples:-
(1) 𝑑2 𝑦
= 𝑥 1+
𝑑𝑦
𝑑𝑥2 𝑑𝑥
2
3
2
(2) 𝑑2 𝜃
+ 𝑔
sin 𝜃=0
𝑑𝑡2 𝑙
16. MethodsforFindingParticular Integral
• Linear Differential eqn with Constant coefficient
• General Method
• Shortcut Method
• Method of UndeterminedCoefficient
• Method of Variation Parameter (WronkianMethod)
• Linear Differential eqn with Variablecoefficient
• Cauchy-Euler Method
• Legendre’s Method (Variable coefficient)