Current Attempt In Progress Consider The Following Differential Equation 3y X 1 Y 4y 0 Co 2 A Seek A Powe 1 (78.11 KiB) Viewed 55 times
Current Attempt In Progress Consider The Following Differential Equation 3y X 1 Y 4y 0 Co 2 A Seek A Powe 2 (33.97 KiB) Viewed 55 times
Current Attempt in Progress Consider the following differential equation 3y" + (x+1)y' + 4y = 0, co = 2. (a) Seek a power series solution for the given differential equation about the given point xo; find the recurrence relation that the coefficients must satisfy. an, n= 0, 1, 2,... (b) Find the first four nonzero terms in each of two solutions y₁ and y2. NOTE: For yi, set ag = 1 and at = 0 in the power series to find the first four non-zero terms. For ye, set ao = 0 and a, = 1 in the power series to find the first four non-zero terms. an+2 3₁(x)= = Y₂(x) = an+1 + <
(c) By evaluating the Wronskian W (y1, y2) (ro), show that y₁ and y2 form a fundamental set of solutions. W (9₁, 92) (2)
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