CHAPTER 3D: VARIATION OF PARAMETERS
NON-HOMOGENOUS SECOND ORDER DE
METHOD OF UNDETERMINED COEFFS.
VARIATION OF PARAMETERS
STEPS TO SOLVE:
STEPS TO SOLVE:
STEPS TO SOLVE:
PRACTICE
PROBLEMS
𝐷 2 + 1 𝑦 = tan2 𝑥
𝐷2 − 4 𝑦 = 4𝑥 − 3ⅇ𝑥
Ans: 𝑦 = ⅇ 𝑥 − 𝑥 + 𝑐1 ⅇ 2𝑥 + 𝑐2 ⅇ −2𝑥
𝑦 ′′ + 𝑦 = csc 3 𝑥 cot 𝑥
Chapter 2
Separation of variables
Exact equations
Linear Equation of Order One
Solving DE by Inspection
Chapter 3
Homogeneous
a. District
b. Repeated
c. Complex
d. Repeated complex
Non-homogeneous
a. Undetermined coefficients
b. Variation of Parameters
CHAPTER 3B: THE METHOD OF UNDETERMINED COEFFICIENTS(MUC)
PRACTICE
PROBLEMS