ODE No. 1527

2.1527 ODE No. 1527

Problem in Latex
Mathematica input
Maple input

$(x - a)^{3} (x - b)^{3} y^{(3)} (x) - c y (x) = 0$ ✓ Mathematica : cpu = 130.113 (sec), leaf count = 165

${{y (x) \to c_{1} (x - b)^{2} {(\frac{x - a}{x - b})}^{Root [- {# 1}^{3} + 3 {# 1}^{2} - 2 # 1 + \frac{c}{(a - b)^{3}} &, 1]} + c_{2} (x - b)^{2} {(\frac{x - a}{x - b})}^{Root [- {# 1}^{3} + 3 {# 1}^{2} - 2 # 1 + \frac{c}{(a - b)^{3}} &, 2]} + c_{3} (x - b)^{2} {(\frac{x - a}{x - b})}^{Root [- {# 1}^{3} + 3 {# 1}^{2} - 2 # 1 + \frac{c}{(a - b)^{3}} &, 3]}}}$ ✓ Maple : cpu = 0.611 (sec), leaf count = 437

${y (x) = {(x - a)}^{- 2 \frac{b}{a - b}} {(x - b)}^{2 \frac{a}{a - b}} ({(b - x)}^{- \frac{R o o t O f ({_Z}^{3} + (- 3 a - 3 b) {_Z}^{2} + (2 a^{2} + 8 a b + 2 b^{2})_Z - 4 a^{2} b - 4 a b^{2} - c, i n d e x = 1)}{a - b}} {(a - x)}^{\frac{R o o t O f ({_Z}^{3} + (- 3 a - 3 b) {_Z}^{2} + (2 a^{2} + 8 a b + 2 b^{2})_Z - 4 a^{2} b - 4 a b^{2} - c, i n d e x = 1)}{a - b}}_C 1 + {(b - x)}^{- \frac{R o o t O f ({_Z}^{3} + (- 3 a - 3 b) {_Z}^{2} + (2 a^{2} + 8 a b + 2 b^{2})_Z - 4 a^{2} b - 4 a b^{2} - c, i n d e x = 2)}{a - b}} {(a - x)}^{\frac{R o o t O f ({_Z}^{3} + (- 3 a - 3 b) {_Z}^{2} + (2 a^{2} + 8 a b + 2 b^{2})_Z - 4 a^{2} b - 4 a b^{2} - c, i n d e x = 2)}{a - b}}_C 2 + {(b - x)}^{- \frac{R o o t O f ({_Z}^{3} + (- 3 a - 3 b) {_Z}^{2} + (2 a^{2} + 8 a b + 2 b^{2})_Z - 4 a^{2} b - 4 a b^{2} - c, i n d e x = 3)}{a - b}} {(a - x)}^{\frac{R o o t O f ({_Z}^{3} + (- 3 a - 3 b) {_Z}^{2} + (2 a^{2} + 8 a b + 2 b^{2})_Z - 4 a^{2} b - 4 a b^{2} - c, i n d e x = 3)}{a - b}}_C 3)}$

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