80 likes | 147 Views
Sec 4.1.3: Nonhomog Equations. Consider:. Particular solution. Sec 4.1.3: Nonhomog Equations. Nonhomog. Consider nonhomog:. Particular solution. homog. Associated Homg:. General solution. Is the general solution for the nonhomog DE. Sec 4.1.3: Nonhomog Equations. Consider:.
E N D
Sec 4.1.3: Nonhomog Equations Consider: Particular solution
Sec 4.1.3: Nonhomog Equations Nonhomog Consider nonhomog: Particular solution homog Associated Homg: General solution Is the general solution for the nonhomog DE
Sec 4.1.3: Nonhomog Equations Consider: Particular solution Associated Homg: General solution Find the general solution for
Sec 4.1.3: Nonhomog Equations Nonhomog Consider nonhomog: Particular solution homog Associated Homg: General solution Is the general solution for the nonhomog DE =Complementary function+any particular solution
General Solution for Nonhomog Eq Theorem 4.6 =Complementary function+any particular solution
What is missing How to solve nonHomog. DE Given a homg DE: Step 1 Find n-lin. Indep solutions For the associated homog DE Step 2 Find any particual sol For the nonhomog DE Step 3 The general solution for
N-th order linear DE Constant Coeff variable Coeff Homog(findyp) 4.3 NON-HOMOG (find yp) Annihilator Approach 4.5 Variational of Parameters 4.6
Superposition Principle for Non-Homog Theroem 4.7 ( Superposition Principle) EXAMPLE: