Q13
PLEASE answer all parts of the question. PLEASE SHOW and clearlyEXPLAIN all parts of the question and HIGHLIGHT the final solution.If the answer is correct I will upvote!
Q13 Please Answer All Parts Of The Question Please Show And Clearly Explain All Parts Of The Question And Highlight The 1 (59.82 KiB) Viewed 21 times
Find a power series expansion about x = 0 for a general solution to the given differential equation. Your answer should include a general formula for the coefficients. -z"-x²z'-xz=0 What is the power series solution to the differential equation? x)=00/10 1+ OA. z(x) = a0 n=1 00 OB. Z(x)= a 1 + Σ (-1). n=1 O c. z(x)= a 1 + 20/1+ 2 n=1 (1.4.7-.-(3n-2))² (3n)! 2007 00 (1 + === 3n -X + a₁ X n=1 00 (3.6.9---(3n)) (3n - 2)! (3.6.9---(3n)) (3n-2)! 00 OD. z(x)= ao 1+ Σ (-1)^- n=1 -x3n 2x²0] +0₁ (x+ -x3n + a₁ x + (1.4.7-.-(3n-2))² (3n)! 00 (2.5.8.-(3n-1))² (3n+ 1)! -199² Σ(-1). n = 1 n=1 2007 - 01/10 & 1 + + n=1 C (1.4.7.-- (3n-2)) (3n+2)! 00 (1.4.7(3n-2)) (3n+2)! -x3n+1 Σ(-1). 3n+1 -x³n+1 (2.5.8.-(3n-1))² (3n + 1)! v3n+ 1
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