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2.1505   ODE No. 1505

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

(2ax+b)y′(x)+ay(x)+3(2x−1)y″(x)+2(x−1)xy(3)(x)=0 ✓ Mathematica : cpu = 60.2872 (sec), leaf count = 115

{{y(x)→c3MathieuC[−a2−b2+1,a4,cos−1⁡(x)]MathieuS[−a2−b2+1,a4,cos−1⁡(x)]+c1MathieuC[−a2−b2+1,a4,cos−1⁡(x)]2+c2MathieuS[−a2−b2+1,a4,cos−1⁡(x)]2}} ✓ Maple : cpu = 0.996 (sec), leaf count = 79

{y(x)=_C1(MathieuC(−a2−b2+1,a4,arccos⁡(x)))2+_C2(MathieuS(−a2−b2+1,a4,arccos⁡(x)))2+_C3MathieuC(−a2−b2+1,a4,arccos⁡(x))MathieuS(−a2−b2+1,a4,arccos⁡(x))}

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