ODE
\[ y(x) \left (\sum _{n=0}^m a(n) x^n\right )+y''(x)=0 \] ODE Classification
[[_2nd_order, _with_linear_symmetries]]
Book solution method
TO DO
Mathematica ✗
cpu = 35.8803 (sec), leaf count = 0 , could not solve
DSolve[Sum[x^n*a[n], {n, 0, m}]*y[x] + Derivative[2][y][x] == 0, y[x], x]
Maple ✗
cpu = 6.795 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[Sum[x^n*a[n], {n, 0, m}]*y[x] + y''[x] == 0,y[x],x]
Mathematica raw output
DSolve[Sum[x^n*a[n], {n, 0, m}]*y[x] + Derivative[2][y][x] == 0, y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x)+sum(a(n)*x^n,n = 0 .. m)*y(x) = 0, y(x))
Maple raw output
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