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N-th order linear DE

Euler Equations. Sec(5.1): page 295 ex: 51-56 Sec(5.3): page 320 ex: 51-58 Sec(5.5): page 347 ex: 57-62. N-th order linear DE. Constant Coeff. variable Coeff. Euler equation. Euler equation. In General Power Series (not in Math-260). Homog. NON-HOMOG (find y p ). undeterminate

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N-th order linear DE

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  1. Euler Equations Sec(5.1): page 295 ex: 51-56 Sec(5.3): page 320 ex: 51-58 Sec(5.5): page 347 ex: 57-62 N-th order linear DE Constant Coeff variable Coeff Euler equation Euler equation In General Power Series (not in Math-260) Homog NON-HOMOG (find yp) undeterminate coefficients Variation of Parameters

  2. Sec(5.1): page 295 ex: 51-56 Sec(5.3): page 320 ex: 51-58 Sec(5.5): page 347 ex: 57-62 Euler Equation (homog)

  3. DE in x,y Variable coeff DE in t,y constant coeff Sec(5.1): page 295 ex: 51-56 Sec(5.3): page 320 ex: 51-58 Sec(5.5): page 347 ex: 57-62 Method of Solution (homog) Method-1 Step 1 Step 2 Solve:

  4. Sec(5.1): page 295 ex: 51-56 Sec(5.3): page 320 ex: 51-58 Sec(5.5): page 347 ex: 57-62 Method of Solution (homog) Method-2 Solve: Step 1 Solve: Step 2 Step 3 Step 4 Find the values of m Distinct real repeated real Non- real

  5. Sec(5.1): page 295 ex: 51-56 Sec(5.3): page 320 ex: 51-58 Sec(5.5): page 347 ex: 57-62 Euler Equation (non-homog) Method Step 1 Solve the homog: Use variation of parameters: Step 2 Step 3 The general solution is

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