Express the f(x) interms of Legendre's polynomials good example find a,b,c & d (PART-2)

In this video explaining second problem of Legendre's polynomials. In this problem require value of a b c and d.This problem is very easy. The Legendre polynomials are defined by a recursive formula and their coefficients can be computed using the Gram-Schmidt orthogonalization process. The polynomials have many useful properties, including a closed-form expression in terms of trigonometric functions and they satisfy a differential equation known as Legendre's equation. #legendrepolynomial #differentialequation 18MAT21 MODULE 1:Vector Calculus    • Vector Calculus   18MAT21 MODULE 2:Differential Equation higher order    • Ordinary Differential Equation of Higher O...   18MAT21 MODULE 3: Partial differential equations    • Partial differential equations   18MAT21 MODULE 4: Infiinite series & Power series solution    • Special Functions   18MAT21 MODULE 5: Numerical methods    • Numerical methods   18MAT11 Module1: Differential Calculus1    • Differential Calculus   18MAT11 Module2: differential Calculus2    • Power Series Expansion, Indeterminate Form...   18MAT11 Module3: Integral Calculus   • Multiple Integrals & Beta and Gamma functions   18MAT11 Module4: Ordinary differential equations    • Ordinary differential equations (ODE's) of...   Linear Algebra: 18MAT11 MODULE 5    • Linear Algebra: 22MAT11   LAPLACE TRANSFORM : 18MAT31    • LAPLACE TRANSFORM   Fourier Transforms Z-transform : 18MAT31 & 17MAT31    • Fourier Transforms,Z-transform: 21MAT31 & ...   Fourier Series: 18MAT31 & 17MAT31    • Fourier Series: 21MAT31 & 18MAT31   Calculus of Variation & Numerical Methods 18MAT31    • Numerical Solution of Second-Order ODEs an...   Numerical Methods ODE's: 18MAT31 & 17MAT41    • Numerical Solution of Ordinary Differentia...   Joint Probability & Sampling Theory: 18MAT41 & 17MAT41    • Joint Probability & Sampling Theory   Probability Distributions: 18MAT41 & 17MAT41    • Probability Distributions   Calculus of Complex Functions: 18MAT41 & 17MAT41    • Complex Analysis & Complex Integrations   Curve fitting & Statistical Method 18MAT41 17MAT31    • Statistical Method  & Curve fitting