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Dec 9th, 2018
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  1. eqns = {t x'[t] == a x[t] t + b y[t]^(1/3), y'[t] t == b x[t],
  2. x[t0] == 1, y[t0] == 1};
  3. sol = DSolve[eqns, {x, y}, t]
  4.  
  5. eqns = {t x'[t] == a x[t] t + b y[t], y'[t] t == b x[t], x[t0] == 1,
  6. y[t0] == 1};
  7. sol = DSolve[eqns, {x, y}, t]
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