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2.551   ODE No. 551

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

y′(x)n−f(x)n(y(x)−a)n+1(y(x)−b)n−1=0 ✓ Mathematica : cpu = 0.469094 (sec), leaf count = 84

{{y(x)→−a(a−b)n(∫1x(−1)1n+1f(K[1])dK[1]+c1)n−bnn−(a−b)n(∫1x(−1)1n+1f(K[1])dK[1]+c1)n−nn}}

✓ Maple : cpu = 0.4 (sec), leaf count = 127

{y(x)=−a(n−_C1a+_C1b−a∫f(x)dx+b∫f(x)dx)n(−1+(n−_C1a+_C1b−a∫f(x)dx+b∫f(x)dx)n)−1+b(n−_C1a+_C1b−a∫f(x)dx+b∫f(x)dx)n(−1+(n−_C1a+_C1b−a∫f(x)dx+b∫f(x)dx)n)−1+a}

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