Notes on the Solutions of the First Order Quasilinear Differential Equations
DOI:
https://doi.org/10.23755/rm.v34i0.414Keywords:
nonlinear, quasilinear, differential equation, differential system,Abstract
The system of the quasilinear differential first order equations with the antisymetric matrix and the same element f (t,x(t)) on the main diagonal have the property that r'(t) = f (t,x(t))r(t), where r(t) ≥ 0 is the po- lar function of the system. In special cases, when values f (t,x(t)) and g (t,x(t)) are only dependent on r^2 (t), t ∈ Jo we can find the general solution of the system (1) explicitly.
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