See also List of nonlinear partial differential equations. A–F {|class="wikitable" style="background: white; color: black; text-align: left" |-style="background: #eee" !Name !Order !Equation !Applications |- |Abel's differential equation of the first kind |1 | |Mathematics |- |Abel's differential equation of the second kind |1 | |Mathematics |- |Bellman's equation or Emden-Fowler's equation |2 | |Mathematics |- |Bernoulli equation |1 | |Mathematics |- |Besant-Rayleigh-Plesset equation |2 | |Fluid dynamics |- |Blasius equation |3 | |Blasius boundary layer |- |Chandrasekhar equation |2 | |Astrophysics |- |Chandrasekhar's white dwarf equation |2 | |Astrophysics |- |Chrystal's equation |1 | |Mathematics |- |Clairaut's equation |1 | |Mathematics |- |D'Alembert's equation |1 | |Mathematics |- |Darboux equation |1 | |Mathematics |- |De Boer-Ludford equation |2 | |Plasma physics |- |Duffing equation |2 | |Oscillators |- |Emden equation |2 | |Astrophysics |- |Euler's differential equation |1 | |Mathematics |- |Falkner–Skan equation |3 | |Falkner–Skan boundary layer |} G–K {|class="wikitable" style="background: white; color: black; text-align: left" |-style="background: #eee" !Name !Order !Equation !Applications |- |Ivey's equation |2 | | |- |Jacobi's differential equation |1 | |Mathematics |- |Kiddler equation |2 | |Flow through porous medium |- |Krogdahl equation |2 | |Stellar pulsation |} L–Q {|class="wikitable" style="background: white; color: black; text-align: left" |-style="background: #eee" !Name !Order !Equation !Applications |- |Lane–Emden equation |2 | |Astrophysics |- |Langmuir equation |2 | |Environmental Engineering |- |Langmuir-Blodgett equation |2 | | |- |Langmuir-Boguslavski equation |2 | | |- |Liñán's equation |2 | |Combustion |- |Painlevé I transcendent |2 | |Mathematics |- |Painlevé II transcendent |2 | |Mathematics |- |Painlevé III transcendent |2 | |Mathematics |- |Painlevé IV transcendent |2 | |Mathematics |- |Painlevé V transcendent |2 | |Mathematics |- |Painlevé VI transcendent |2 | |Mathematics |- |Poisson-Boltzmann equation |2 | |Statistical Physics |} R–Z {|class="wikitable" style="background: white; color: black; text-align: left" |-style="background: #eee" !Name !Order !Equation !Applications |- |Rayleigh equation |2 | |Hydrodynamic stability |- |Riccati equation |1 | |Mathematics |- |Stuart–Landau equation |1 | |Hydrodynamic stability |- |Thomas–Fermi equation |2 | |Quantum mechanics |- |Van der Pol equation |2 | |Oscillators |} References Ordinary differential equations