2.46   ODE No. 46

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

xay(x)+axa1x2axay(x)3+y(x)+3y(x)2=0 Mathematica : cpu = 0.245496 (sec), leaf count = 258

{{y(x)xae2x1a1ac12x(4a+1a1x(x1a1a)2a1Γ(2a1,4x1aa1)a1+e4x1aa1xa)a+1},{y(x)e2x1a1ac12x(4a+1a1x(x1a1a)2a1Γ(2a1,4x1aa1)a1+e4x1aa1xa)a+1+xa}}

Maple : cpu = 0.129 (sec), leaf count = 1052

{y(x)=1e2x(a1)xa1_C1211a22a1a2(1a)1((1a)1)a1a(1a)1(1a3+a23+2a1a+2(1a)1+2(a1)1xa21a+(1a)11+a((1a)1)a1a+(1a)1(4x1aa21a+8ax1a1a4x1a1a+2a2)(x1a1a)(a1)1e2x1a1aMa+1a1+(a1)1,(a1)1+1/2(4x1a1a)(a1a+(1a)1)11a3+a21+2a1a+2(1a)1+2(a1)1xa21a+(1a)11+a((1a)1)a1a+(1a)1(x1a1a)(a1)1e2x1a1aMa+1a1+(a1)1+1,(a1)1+1/2(4x1a1a)(a1a+(1a)1)1)+(xa)1,y(x)=1e2x(a1)xa1_C1211a22a1a2(1a)1((1a)1)a1a(1a)1(1a3+a23+2a1a+2(1a)1+2(a1)1xa21a+(1a)11+a((1a)1)a1a+(1a)1(4x1aa21a+8ax1a1a4x1a1a+2a2)(x1a1a)(a1)1e2x1a1aMa+1a1+(a1)1,(a1)1+1/2(4x1a1a)(a1a+(1a)1)11a3+a21+2a1a+2(1a)1+2(a1)1xa21a+(1a)11+a((1a)1)a1a+(1a)1(x1a1a)(a1)1e2x1a1aMa+1a1+(a1)1+1,(a1)1+1/2(4x1a1a)(a1a+(1a)1)1)+(xa)1}