2.733   ODE No. 733

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

y(x)=csc(x)(2x2y(x)log(2x)+x4log(2x)+y(x)2log(2x)log(2x)+2xsin(x)) Mathematica : cpu = 12.3583 (sec), leaf count = 73

{{y(x)exp(1x2csc(K[5])log(2K[5])dK[5])1xexp(1K[6]2csc(K[5])log(2K[5])dK[5])csc(K[6])log(2K[6])dK[6]+c1+x2+1}} Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(diff(y(x),x) = (2*x*sin(x)-ln(2*x)+ln(2*x)*x^4-2*ln(2*x)*x^2*y(x)+ln(2*x)*y(x)^2)/sin(x),y(x))