Differential Equations Forum

Join in expert discussion on differential equation topics. Differential equations are an equation involving derivatives of a function or functions. Help in solving ODE and PDE problems. Homework help is available.
ExtravagantDreams
  • Sticky
Intro. to Differential Equations
3 4 5
M
Simple Symplectic Reduction Example
M
A Deriving the FEA formulation using triangular elements
F
A Consistency Versus Convergence, seeking intuition
G
I What method should I use to get the roots of this equation?
Phys pilot
I How do I classify this partial differential equation? Inhomogeneous?
A
A Matrix Exponential to Approximate the Value of Matrizant
E
A How to get a converging solution for a second order PDE?
F
I Separation of Variables for Partial Differential Equations
H
A Irreversible processes. Heat equation, diffusion equation
joshmccraney
A Non-homogenous convection equation
T
A Lecture notes on Finite Difference Methods
m4r35n357
I Symplectic integrator, non-separable Hamiltonian
J
I How to find force parameters if you know the solution?
joshmccraney
A ODE System solution technique
F
I Meaning of the Wave Equation
B
I Solution of the 1D heat equation
joshmccraney
A Basis functions and spanning a solution space
X
I Take a limit in this 2 equation system of 1st order ODEs
F
I Heat Equation Problem
stockzahn
A Linearization of nonlinear grad(T) in the diffusion equation
O
I How to get a Chaos Sequence from this Equation?
J
I Solution for 1st order, homogenous PDE
W
I Continuity of Green's function
barryj
A Hint as to how to solve an integral differential equation
S
B Fourier transform of a constant
T
I Nonlinear Second Order ODE
J
B Why the Fourier series doesn't work to solve any differential equation?
T
A Determine PDE Boundary Condition via Analytical solution
S
I Non-linear Pendulum
dRic2
I The stability of a linear hyperbolic problem
M
A Laplace or Fourier Transform to solve a system of partial differential equations in thermoelasticity
physics_cosmos
I Solving the Brachistochrone problem with friction
D
I Derivative of f() as a function of a Laplacian
K
I Which function space do square waves span?
E
I Differential Equation Problem
H
I How to solve an ODE to find its solution
osilmag
I Chaos Theory Constants
O
I How to check chaotic system using Lyapunov
TachyonLord
I Where does the exponential function come from in roots?
joshmccraney
I Sturm-Liouville Eigenfunctions
thoraxepi
I Transfer Function relating momentum and force
O
I How to simplify this Equation
H
A Partial Differential Equation Mathematical Modelling
E
A Differential Equation to Difference Equation
Z
I How do you know when to partially differentiate?
J
A Can I linearize this equation?
md nabil
A Solving the Laplace equation over a trapezoidal domain
F
I Chain Rule and acceleration as a function of two variables
Chromatic_Universe
I Solving a nonlinear first order differential equation
P
I Boundary condition 1D beam
X
A Need help solving Darboux equation
joshmccraney
A Numerics: Wronskian and linear independence
joshmccraney
A Rayleigh quotient Eigenvalues for a simple ODE
M
I Sketching simple coupled oscillators
P
I Rewriting ODEs
Josu Aguirrebeitia
A Solution form for the following differential equation
S
I Y'' + y = 0 solution and recursion relation
joshmccraney
A Green's functions issue
K
A Gravitational Well Position
joshmccraney
A Variation of parameters, Green's functions, Wronskian
sparkie
I What exactly is linear dependency? 2nd and 3rd Order Diff EQ
M
I Using a bifurcation diagrams and time dependent parameters
HumanistEngineer
A Finite Difference Scheme - Plume Entrainment
binbagsss
Mathematical Biology- Neumann BCs, Turing Analysis
B
A Inverted pendulum car - pedulum will not swing
joshmccraney
I Metric for knowing when numerical BC is "good"
2
U
A Taylor expansion for a nonlinear system and Picard Iterations
P
I General solution to a 2nd-order differential equation
C
I Real life application of Euler's method/numerical method
  • ChanYoung Park
A
I Linearity of DE's
m4r35n357
I Is this numerical techique for solving ODEs widely known?
F
I Derivation of Lax-Wendroff finite volume scheme
F
I Solving PDE's with chebychev FFT
HumanistEngineer
A 1D Convection Diffusion Equation - Inlet Mixing Effect
N
A Very simple question about KP hierarchy
D
I Applications of second order linear non homogenous ordinary differential equations
K
I RL circuit with polynomial forcing function solution (units)
R
A Runge Kutta - units
L
I Overdamping condition
cg78ithaca
A Generalization of hypergeometric type differential equation
Phylosopher
I Is the exponential function, the only function where y'=y?
C
A ODE from Geometry Problem
Mr Davis 97
I SHM and the sign of k
R
A Asymptotic solutions to a differential equation
M
I Heat equation plus a constant
K
I Using complex numbers or phasor transform to solve O.D.E's
mertcan
A Spectral Theorem to Convert PDE into ODE
L
I Second order ordinary differential equation to a system of first order
Riotto
I Can all differential equations be turned into algebraic equations via the FT?
joshmccraney
A Inverse ODE, Green's Functions, and series solution
G
A Vector differential equation
A
A Stefan Problem
joshmccraney
A RK4 on numerical RHS
Voq
I Linear differential equation
S
I What is term for DEQ that only has terms of a derivative?
T
Confusion about series solutions to differential equations
K
B What's the difference between 1000e^0.05t and 1000*1.05^t?
dRic2
I What does this line mean?
synMehdi
A Pontryagin minimum principle with control constraints
joshmccraney
A Green's function not self adjoint for self adjoint ODE
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Differential Equations

Generally, Differential equations are basis for every meaningful physical theory in existence. They are the starting point for the math. DEqs are the mathematical language to express how things change.

All of our physical observations are in the terms of how things change. If you translate the observed changes in the physical world carefully into mathematics you have a differential equation. Solve the differential equations and you have a tool to make a physical prediction.

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