[(2x+3)^2D^2-2(2x+3)D-12]y=6x #LegendresLinearEquation L1k,95

#explanationinenglish #Legendresequation Hey guys, we have discussed Lengender's linear equation problem in this video, please do watch the video till end with little patience. My hearty thanks to all the beautiful souls over here💛 With❤ Chinnaiah Kalpana☀ Legendre's Linear Equation: [(ax+b)^nD^n+P1 (ax+b)^(n-1) D^(n-1)+P2 (ax+b)^(n-2) D^(n-2)+....+Pn]y=Q Such kind of equations can be reduced to Linear Equation with Constant Coefficients by the substitution :👇 ax+b=e^z implies z=log(ax+b) ******Also we can find x? ax+b=e^z then ax=(e^z)-b then x=[(e^z)-b]/a✔ θ=d/dz (ax+b)D = a . θ (ax+b)^2 D^2 = a^2 . θ(θ-1) (ax+b)^3 D^3 = a^3 . θ(θ-1)(θ-2) . . . . so on. Legendre's equation problems 👇    • Legendre's Equation(In some books they hav...   #lengendreslinearequation #legndreslinearequationexampleproblem #problemsonlengendresequation #lengendresequationproblems #enggineeringmathematics #maths #bscmathslegendresequation #chinnaiahkalpana