General relativity predicts that accelerated masses radiate gravitational waves, thereby losing energy, in analogy to the emission of electromagnetic radiation by accelerated charges. There is indirect evidence for the existence of such wave from the orbital time evolution of some binary pulsars (and direct evidence of gravitational waves from LIGO!). If gravitational radiation were also responsible for the loss of rotational energy E_rot of isolated pulsars (e. g., the Crab pulsar), then a dependence dE_rot/dt alpha omega^6 would be expected, where omega is the angular rotation velocity. Under the above assumption, find an expression for omega(t). For the time dependence found in (a), derive an upper limit for the age of the Crab pulsar. Given that the supernova that marked the Crab's formation occurred in the year 1054, is gravitational radiation a viable braking mechanism for the Crab pulsar?Note:a complex mathematical expression was written in the question