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2.327   ODE No. 327

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

(2Global`x2Global`y(Global`x)3+Global`xGlobal`y(Global`x)4+2Global`y(Global`x)+Global`x)Global`y′(Global`x)+Global`y(Global`x)5+Global`y(Global`x)=0 ✓ Mathematica : cpu = 0.370198 (sec), leaf count = 669

{{Global`y(Global`x)→9c12Global`x2+33−4c13Global`x6−c14Global`x4+18c12Global`x4+4c13Global`x2+27Global`x4+2c13+27Global`x23323Global`x−23(−3c1Global`x2−c12)3Global`x9c12Global`x2+33−4c13Global`x6−c14Global`x4+18c12Global`x4+4c13Global`x2+27Global`x4+2c13+27Global`x23+c13Global`x},{Global`y(Global`x)→−(1−i3)9c12Global`x2+33−4c13Global`x6−c14Global`x4+18c12Global`x4+4c13Global`x2+27Global`x4+2c13+27Global`x23623Global`x+(1+i3)(−3c1Global`x2−c12)3 22/3Global`x9c12Global`x2+33−4c13Global`x6−c14Global`x4+18c12Global`x4+4c13Global`x2+27Global`x4+2c13+27Global`x23+c13Global`x},{Global`y(Global`x)→−(1+i3)9c12Global`x2+33−4c13Global`x6−c14Global`x4+18c12Global`x4+4c13Global`x2+27Global`x4+2c13+27Global`x23623Global`x+(1−i3)(−3c1Global`x2−c12)3 22/3Global`x9c12Global`x2+33−4c13Global`x6−c14Global`x4+18c12Global`x4+4c13Global`x2+27Global`x4+2c13+27Global`x23+c13Global`x}}

✓ Maple : cpu = 0.175 (sec), leaf count = 583

{y(x)=112_C1x((−12ix2_C1−i(108_C13x2+12327_C14x2+18_C12x2+(4x4−4)_C1−x2x_C1+36x2_C1−8)23+4i)3+12x2_C1−(108_C13x2+12327_C14x2+18_C12x2+(4x4−4)_C1−x2x_C1+36x2_C1−83+2)2)1108_C13x2+12327_C14x2+18_C12x2+(4x4−4)_C1−x2x_C1+36x2_C1−83,y(x)=112_C1x((12ix2_C1+i(108_C13x2+12327_C14x2+18_C12x2+(4x4−4)_C1−x2x_C1+36x2_C1−8)23−4i)3+12x2_C1−(108_C13x2+12327_C14x2+18_C12x2+(4x4−4)_C1−x2x_C1+36x2_C1−83+2)2)1108_C13x2+12327_C14x2+18_C12x2+(4x4−4)_C1−x2x_C1+36x2_C1−83,y(x)=16_C1x108_C13x2+12327_C14x2+4_C1x4+18_C12x2−x2−4_C1x_C1+36x2_C1−83−6x2_C1−23_C1x1108_C13x2+12327_C14x2+4_C1x4+18_C12x2−x2−4_C1x_C1+36x2_C1−83−13_C1x}

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