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Original Message (ID '494453') By yehuda:
First you multiplied t'[x] by ZERO in the right hand side of your non linear ODE DSolve[{4/(\[Pi]*50)*t''[x] == 0*t'[x] + (0.77 - (0.667*Sin[t[x]])), t[0] == 0.4858, t'[0] == 0}, t[x], x] It means that the ODE depends only on second and zero derivatives, and it is non linear for such non linear equation, it is recommended to use NDSolve (read documentation for that), but before that please check if the multiplication by zero is true since that the solution explodes best yehuda