What is the series solution to y - ay = 0, a is a constant y(t) = Σ n=0 8 y(t)=(- n=0 antn n! n! None of the given choices ∞ y(t) = Σ n=0 n! ∞ y(t)=(-1)" n=0 antn n!
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- If y = E=0 anx" = ao + a1x + a2x² + ... is the series solution of y'-y = 3x2, then the coefficient of x³ in the series solution is ao+6 (a) 6. ao-6 (b) 6. ao+3 (c) 6. (d) 40+6 6. 1 (e)ao +Let y" + 2xy = 0 Find general solution for y(x) as a series y(x) = > Anx" n=0 Show the recursion equations.3) Find the first five terms, ao, a₁, a2, a3, a4, in the series solution at x = 0 of the initial value problem (IVP) (x - 1)²y" + xy + y = 0, y(0) = 0, y'(0) = 1.