2.73   ODE No. 73

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

y(x)(a0+a1x+a2x2+a3x3a0+a1y(x)+a2y(x)2+a3y(x)3)2/3=0 Mathematica : cpu = 0.99918 (sec), leaf count = 733

Solve[3(a0+y(x)(a1+y(x)(a2+a3y(x))))2/3(y(x)Root[#13a3+#12a2+#1a1+a0&,1])F1(53;23,23;83;Root[a3#13+a2#12+a1#1+a0&,1]y(x)Root[a3#13+a2#12+a1#1+a0&,1]Root[a3#13+a2#12+a1#1+a0&,2],Root[a3#13+a2#12+a1#1+a0&,1]y(x)Root[a3#13+a2#12+a1#1+a0&,1]Root[a3#13+a2#12+a1#1+a0&,3])5(y(x)Root[#13a3+#12a2+#1a1+a0&,2]Root[#13a3+#12a2+#1a1+a0&,1]Root[#13a3+#12a2+#1a1+a0&,2])2/3(y(x)Root[#13a3+#12a2+#1a1+a0&,3]Root[#13a3+#12a2+#1a1+a0&,1]Root[#13a3+#12a2+#1a1+a0&,3])2/3=3(a0+x(a1+x(a2+a3x)))2/3(xRoot[#13a3+#12a2+#1a1+a0&,1])F1(53;23,23;83;Root[a3#13+a2#12+a1#1+a0&,1]xRoot[a3#13+a2#12+a1#1+a0&,1]Root[a3#13+a2#12+a1#1+a0&,2],Root[a3#13+a2#12+a1#1+a0&,1]xRoot[a3#13+a2#12+a1#1+a0&,1]Root[a3#13+a2#12+a1#1+a0&,3])5(xRoot[#13a3+#12a2+#1a1+a0&,2]Root[#13a3+#12a2+#1a1+a0&,1]Root[#13a3+#12a2+#1a1+a0&,2])2/3(xRoot[#13a3+#12a2+#1a1+a0&,3]Root[#13a3+#12a2+#1a1+a0&,1]Root[#13a3+#12a2+#1a1+a0&,3])2/3+c1,y(x)]

Maple : cpu = 0.363 (sec), leaf count = 91

{y(x)(_a3a3+_a2a2+_aa1+a0)23d_a+x(_a3a3+_a2a2+_aa1+a0a3(y(x))3+a2(y(x))2+a1y(x)+a0)23(a3(y(x))3+a2(y(x))2+a1y(x)+a0)23d_a+_C1=0}