ИСТИНА

For the partial non Hamilton 5-parameter case of concrete planar system, we found the almost complete set of necessary conditions on parameters of the system for which the system is locally integrable near a degenerate stationary point. These sets of parameters, satisfying the conditions, consist of 4 two-parameter subsets in this 5-parameter space except 1 special hyper plane. We wrought down 4 the first integrals of motion as functions in parameters of the system. But we can say nothing about possibility an existence of additional first integrals at the single special values of one of the parameters.