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Sec 4.1.3: Nonhomog Equations

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:.

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Sec 4.1.3: Nonhomog Equations

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  1. Sec 4.1.3: Nonhomog Equations Consider: Particular solution

  2. Sec 4.1.3: Nonhomog Equations Nonhomog Consider nonhomog: Particular solution homog Associated Homg: General solution Is the general solution for the nonhomog DE

  3. Sec 4.1.3: Nonhomog Equations Consider: Particular solution Associated Homg: General solution Find the general solution for

  4. 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

  5. General Solution for Nonhomog Eq Theorem 4.6 =Complementary function+any particular solution

  6. 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

  7. 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

  8. Superposition Principle for Non-Homog Theroem 4.7 ( Superposition Principle) EXAMPLE:

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