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(x(−ρ2−σ2+1)+16x3)y′(x)+y(x)(ρ2σ2+8x2)+(x2(−ρ2−σ2+7)+4x4)y″(x)+x4y(4)(x)+6x3y(3)(x)=0 ✓ Mathematica : cpu = 0.4196 (sec), leaf count = 242
{{y(x)→c1x−ρ2F3(12−ρ2,1−ρ2;1−ρ,−ρ2−σ2+1,−ρ2+σ2+1;−x2)+c3x−σ2F3(12−σ2,1−σ2;1−σ,−ρ2−σ2+1,ρ2−σ2+1;−x2)+c4xσ2F3(σ2+12,σ2+1;−ρ2+σ2+1,ρ2+σ2+1,σ+1;−x2)+c2xρ2F3(ρ2+12,ρ2+1;ρ+1,ρ2−σ2+1,ρ2+σ2+1;−x2)}} ✓ Maple : cpu = 0.353 (sec), leaf count = 71
{y(x)=(c1BesselJ(ρ2−σ2,x)+c2BesselY(ρ2−σ2,x))BesselJ(ρ2+σ2,x)+(c3BesselJ(ρ2−σ2,x)+c4BesselY(ρ2−σ2,x))BesselY(ρ2+σ2,x)}
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