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2.245   ODE No. 245

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

(4x3+2xy(x))y′(x)+112x2y(x)+y(x)2=0 ✓ Mathematica : cpu = 0.411906 (sec), leaf count = 1453

{{y(x)→Root[−1521681143169024#1x22−697437190619136#12x20−145299414712320#13x18−18162426839040#14x16−1513535569920#15x14−88289574912#16x12−3678732288#17x10−109486080#18x8−2280960#19x6−31680#110x4−264#111x2−#112+e30c1x6&,1]},{y(x)→Root[−1521681143169024#1x22−697437190619136#12x20−145299414712320#13x18−18162426839040#14x16−1513535569920#15x14−88289574912#16x12−3678732288#17x10−109486080#18x8−2280960#19x6−31680#110x4−264#111x2−#112+e30c1x6&,2]},{y(x)→Root[−1521681143169024#1x22−697437190619136#12x20−145299414712320#13x18−18162426839040#14x16−1513535569920#15x14−88289574912#16x12−3678732288#17x10−109486080#18x8−2280960#19x6−31680#110x4−264#111x2−#112+e30c1x6&,3]},{y(x)→Root[−1521681143169024#1x22−697437190619136#12x20−145299414712320#13x18−18162426839040#14x16−1513535569920#15x14−88289574912#16x12−3678732288#17x10−109486080#18x8−2280960#19x6−31680#110x4−264#111x2−#112+e30c1x6&,4]},{y(x)→Root[−1521681143169024#1x22−697437190619136#12x20−145299414712320#13x18−18162426839040#14x16−1513535569920#15x14−88289574912#16x12−3678732288#17x10−109486080#18x8−2280960#19x6−31680#110x4−264#111x2−#112+e30c1x6&,5]},{y(x)→Root[−1521681143169024#1x22−697437190619136#12x20−145299414712320#13x18−18162426839040#14x16−1513535569920#15x14−88289574912#16x12−3678732288#17x10−109486080#18x8−2280960#19x6−31680#110x4−264#111x2−#112+e30c1x6&,6]},{y(x)→Root[−1521681143169024#1x22−697437190619136#12x20−145299414712320#13x18−18162426839040#14x16−1513535569920#15x14−88289574912#16x12−3678732288#17x10−109486080#18x8−2280960#19x6−31680#110x4−264#111x2−#112+e30c1x6&,7]},{y(x)→Root[−1521681143169024#1x22−697437190619136#12x20−145299414712320#13x18−18162426839040#14x16−1513535569920#15x14−88289574912#16x12−3678732288#17x10−109486080#18x8−2280960#19x6−31680#110x4−264#111x2−#112+e30c1x6&,8]},{y(x)→Root[−1521681143169024#1x22−697437190619136#12x20−145299414712320#13x18−18162426839040#14x16−1513535569920#15x14−88289574912#16x12−3678732288#17x10−109486080#18x8−2280960#19x6−31680#110x4−264#111x2−#112+e30c1x6&,9]},{y(x)→Root[−1521681143169024#1x22−697437190619136#12x20−145299414712320#13x18−18162426839040#14x16−1513535569920#15x14−88289574912#16x12−3678732288#17x10−109486080#18x8−2280960#19x6−31680#110x4−264#111x2−#112+e30c1x6&,10]},{y(x)→Root[−1521681143169024#1x22−697437190619136#12x20−145299414712320#13x18−18162426839040#14x16−1513535569920#15x14−88289574912#16x12−3678732288#17x10−109486080#18x8−2280960#19x6−31680#110x4−264#111x2−#112+e30c1x6&,11]},{y(x)→Root[−1521681143169024#1x22−697437190619136#12x20−145299414712320#13x18−18162426839040#14x16−1513535569920#15x14−88289574912#16x12−3678732288#17x10−109486080#18x8−2280960#19x6−31680#110x4−264#111x2−#112+e30c1x6&,12]}} ✓ Maple : cpu = 2.141 (sec), leaf count = 31

{y(x)=_C1x28(RootOf(x30_Z360−24x30_Z330−_C1))330}

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