Solution Found!
(a) Use the explicit solutions y1(x) and y2(x) of
Chapter 6, Problem 44E(choose chapter or problem)
(a) Use the explicit solutions \(y_{1}(x)\) and \(y_{2}(x)\) of Legendre’s equation given in (29) and the appropriate choice of \(c_{0}\) and \(c_{1}\) to find the Legendre polynomials \(P_{6}(x)\) and \(P_{7}(x)\)
(b) Write the differential equations for which \(P_{6}(x)\) and \(P_{7}(x)\) are particular solutions.
Text Transcription:
y_1(x)
y_2(x)
c_0
c_1
P_6(x)
P_7
Questions & Answers
QUESTION:
(a) Use the explicit solutions \(y_{1}(x)\) and \(y_{2}(x)\) of Legendre’s equation given in (29) and the appropriate choice of \(c_{0}\) and \(c_{1}\) to find the Legendre polynomials \(P_{6}(x)\) and \(P_{7}(x)\)
(b) Write the differential equations for which \(P_{6}(x)\) and \(P_{7}(x)\) are particular solutions.
Text Transcription:
y_1(x)
y_2(x)
c_0
c_1
P_6(x)
P_7
ANSWER:Step 1 of 4
In this problem we have to find legendre polynomial , and
.
And we have to write the differential equation for which , and
are particular solution.