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See also List of nonlinear partial differential equations and List of linear ordinary differential equations.
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'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
|
Emden–Chandrasekhar equation
|
2
|
|
Astrophysics
|
Euler's differential equation
|
1
|
|
Mathematics
|
Falkner–Skan equation
|
3
|
|
Falkner–Skan boundary layer
|
Name
|
Order
|
Equation
|
Applications
|
Ivey's equation
|
2
|
|
|
Jacobi's differential equation
|
1
|
|
Mathematics
|
Kidder equation
|
2
|
|
Flow through porous medium
|
Krogdahl equation
|
2
|
|
Stellar pulsation
|
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
|
Name
|
Order
|
Equation
|
Applications
|
Rayleigh equation
|
2
|
|
Hydrodynamic stability
|
Riccati equation
|
1
|
|
Mathematics
|
Stuart–Landau equation
|
1
|
|
Hydrodynamic stability
|
Taylor–Maccoll equation
|
2
|
|
Fluid dynamics
|
Thomas–Fermi equation
|
2
|
|
Quantum mechanics[1]
|
Van der Pol equation
|
2
|
|
Oscillators
|
References[edit]
- ^ Davis, Harold Thayer. Introduction to nonlinear differential and integral equations. Courier Corporation, 1962.