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2.322   ODE No. 322

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

(10Global`x2Global`y(Global`x)3−3Global`y(Global`x)2−2)Global`y′(Global`x)+5Global`xGlobal`y(Global`x)4+Global`x=0 ✓ Mathematica : cpu = 0.205639 (sec), leaf count = 2077

{{Global`y(Global`x)→−12423(5Global`x4−10c1Global`x2−2)5Global`x22268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)33+2268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)331523Global`x2+125Global`x4−12−325Global`x2+8125Global`x64423(5Global`x4−10c1Global`x2−2)5Global`x22268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)33+2268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)331523Global`x2+125Global`x4−2268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)331523Global`x2−423(5Global`x4−10c1Global`x2−2)5Global`x22268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)33+225Global`x4+110Global`x2},{Global`y(Global`x)→−12423(5Global`x4−10c1Global`x2−2)5Global`x22268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)33+2268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)331523Global`x2+125Global`x4+12−325Global`x2+8125Global`x64423(5Global`x4−10c1Global`x2−2)5Global`x22268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)33+2268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)331523Global`x2+125Global`x4−2268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)331523Global`x2−423(5Global`x4−10c1Global`x2−2)5Global`x22268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)33+225Global`x4+110Global`x2},{Global`y(Global`x)→12423(5Global`x4−10c1Global`x2−2)5Global`x22268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)33+2268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)331523Global`x2+125Global`x4−12325Global`x2+8125Global`x64423(5Global`x4−10c1Global`x2−2)5Global`x22268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)33+2268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)331523Global`x2+125Global`x4−2268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)331523Global`x2−423(5Global`x4−10c1Global`x2−2)5Global`x22268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)33+225Global`x4+110Global`x2},{Global`y(Global`x)→12423(5Global`x4−10c1Global`x2−2)5Global`x22268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)33+2268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)331523Global`x2+125Global`x4+12325Global`x2+8125Global`x64423(5Global`x4−10c1Global`x2−2)5Global`x22268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)33+2268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)331523Global`x2+125Global`x4−2268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)331523Global`x2−423(5Global`x4−10c1Global`x2−2)5Global`x22268Global`x2−216c1+(2160Global`x2+108(Global`x2−2c1))2−4(60Global`x4−120c1Global`x2−24)33+225Global`x4+110Global`x2}}

✓ Maple : cpu = 0.03 (sec), leaf count = 28

{x2(5(y(x))4+1)2−(y(x))3−2y(x)+_C1=0}

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