Differential Equations Forum

Post thread
Join in expert discussion on differential equation topics like ODE and PDE. Differential equations are an equation involving derivatives of a function or functions.
Undergrad Diagonalising a system of differential equations
  • · Replies 5 ·
Replies
5
Views
2K
High School A few differential equation questions
  • · Replies 19 ·
Replies
19
Views
3K
Undergrad Change of variable (2nd order ODE)
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Help with basic problem of kinematics
  • · Replies 5 ·
Replies
5
Views
2K
MHB How to Solve a Separable Equation with Initial Condition u(0)=6?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Can Estimation of a Function Determine Exponential Decay for Vector-Functions?
  • · Replies 2 ·
Replies
2
Views
1K
High School Where is the best place to put the arbitrary constant?
  • · Replies 2 ·
Replies
2
Views
1K
High School Bessel Function of 1st and 2nd Kind
  • · Replies 1 ·
Replies
1
Views
2K
High School System of differential equations Basic question
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Solving u_x=(sin(x))*(u) in Fourier space
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Is this general solution correct?
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Understanding Equations for Beginners
  • · Replies 2 ·
Replies
2
Views
2K
MHB Solving for Common Root in $(1)$ and $(2)$
  • · Replies 1 ·
Replies
1
Views
1K
MHB Showing Superposition: u(x, t) Equation
  • · Replies 2 ·
Replies
2
Views
2K
MHB How Does Separation of Variables Solve the Heat Equation in a Metal Rod?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Valve closure boundary condition
  • · Replies 1 ·
Replies
1
Views
1K
High School Few basic questions about differential equations....
  • · Replies 13 ·
Replies
13
Views
2K
Insights Solving Homogeneous Linear ODEs using Annihilators - Comments
  • · Replies 8 ·
Replies
8
Views
3K
MHB Differentiation equation: equation of motion
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Laplace transform to solve a nonhomogeneous equation
  • · Replies 3 ·
Replies
3
Views
2K
MHB Help to find asymptotic solution of linear ode
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Solving a Boundary Value Problem: Proving u(x) < 0
  • · Replies 7 ·
Replies
7
Views
2K
MHB Boundary Value Problem: Does it Have a Solution?
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Is there an analytical solution to the following problem?
  • · Replies 20 ·
Replies
20
Views
3K
Graduate Help understanding this extrapolation technique
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Confused about Finding the Green Function
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad What is the notation for referencing an ODE with different parameter values?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad How Do You Derive the Cosine of an Integral in Pendulum Motion?
  • · Replies 30 ·
2
Replies
30
Views
3K
Graduate How to Solve the Laplace Equation on a Trapezoid?
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad How to find the inverse of an integral transform?
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad What happens if you divide by a differential?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad What is the derivative of a matrix transpose?
  • · Replies 2 ·
Replies
2
Views
15K
Undergrad Numerical integration of PDEs: How do you satisfy boundary conditions
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Is there an encyclopedia of DE that accepts solutions?
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad Curl from requiring invariance under inertial coordinate changes
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Nonhomogeneous second order nonlinear differential equations
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Variation of Parameters for System of 1st order ODE
  • · Replies 1 ·
Replies
1
Views
2K
High School Complex Replacement: Justification?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Gamma Function Explained for Upperclassmen Math Students
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Non-homogeneous systems with repeated eigenvalues
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Why Are Hilbert Space Embeddings Used in FEM Eigenvalue Approximation?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Express $a_n$ in $n$: Recursive Formula
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Fourier transform of Dirac delta
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Does the Laplace Transform Exist for tanh(x)?
  • · Replies 1 ·
Replies
1
Views
4K
Undergrad 3rd order motion profile programming ("sinusoidal")
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Solution to PDEs via Fourier transform
  • · Replies 12 ·
Replies
12
Views
2K
Undergrad What are the Laplace transforms of powers of y?
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Fundamental solutions and fundamental matrices
  • · Replies 1 ·
Replies
1
Views
1K
MHB Laplace Transform Help: Solving for Unknown Variables in Electrical Circuits
  • · Replies 5 ·
Replies
5
Views
2K
MHB Damped spring differental equation
  • · Replies 19 ·
Replies
19
Views
4K
MHB Turning 2nd order into 1st order
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Clarification of classification of ODE
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Zill DE text says (y-x)dx+(4xy)dy=0 can be rewritten as....
  • · Replies 1 ·
Replies
1
Views
2K
MHB Where Did I Go Wrong with Orthogonal Trajectories of x^2 + y^2 = cx^3?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Verifying My Solution to an EDP: Agree or Disagree?
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Boundary Value Problem Requiring Quarterwave Symmetry
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Is y(x) Identically Zero in This ODE Given Specific Initial Conditions?
  • · Replies 3 ·
Replies
3
Views
1K
Graduate Functions with "antisymmetric partial"
  • · Replies 6 ·
Replies
6
Views
1K
Graduate Div(gradΦ): Solve 3y12+2y22-3y1y32
  • · Replies 4 ·
Replies
4
Views
2K
MHB What issues can arise when solving ODEs numerically?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad 4th order Runge-Kutta with system of coupled 2nd order ode motion equations
  • · Replies 14 ·
Replies
14
Views
4K
Graduate Unfamiliar Concepts in Stochastic Stability and Control: Help Needed!
  • · Replies 5 ·
Replies
5
Views
2K
MHB Solution of the problem in interlaced form
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Is it possible to solve this differential equation?
  • · Replies 2 ·
Replies
2
Views
1K
MHB Is This the Correct General Solution for the Differential Equation?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Solving Navier Stokes & energy equations with different coordinates
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Question about solution to Laplacian in Spherical Polars
  • · Replies 1 ·
Replies
1
Views
2K
High School How to Determine a(x) for Integrating Any e^f(x)?
  • · Replies 15 ·
Replies
15
Views
5K
Undergrad Why does the amplitude of an undamped driven oscillator not vary with time?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Find Y(s)/X(s) for y(t) = u(t - a).x(t)
  • · Replies 3 ·
Replies
3
Views
1K
MHB Parametric representation of a line
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Sturm-Liouville Problem, boundary condition
  • · Replies 1 ·
Replies
1
Views
4K
Undergrad How to prove the curl curl of a vector?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Are the derivatives of eigenfunctions orthogonal?
  • · Replies 7 ·
Replies
7
Views
4K
Undergrad F'(n) = f(n) in discrete calculus
  • · Replies 2 ·
Replies
2
Views
1K
MHB Another field lines of 3D vector functions question
  • · Replies 2 ·
Replies
2
Views
2K
MHB Field lines of 3D vector functions
  • · Replies 2 ·
Replies
2
Views
6K
Undergrad Heaviside's Operational Calculus and Laplace Transform
  • · Replies 1 ·
Replies
1
Views
4K
Undergrad Simplifying Summation Algebra with Differential Equations
  • · Replies 3 ·
Replies
3
Views
2K
Graduate What is the significance of the constant m in the Hermite differential equation?
  • · Replies 5 ·
Replies
5
Views
2K
MHB Emad's question via email about Inverse Laplace Transform
  • · Replies 1 ·
Replies
1
Views
5K
MHB Understanding Support of Convolution: Does the Equality Hold?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Solve Equation: Get from One to Two?
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Nonlinear first order Differential equation
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Conceptual Question: Vector-Matrix Differential Equation
  • · Replies 1 ·
Replies
1
Views
1K
Graduate What Are the Latest Trends and Challenges in Nonlinear PDEs for Cancer Research?
  • · Replies 5 ·
Replies
5
Views
5K
Undergrad Why Is u=y/x Treated as a Function of x Alone in ODE Differentiation?
  • · Replies 1 ·
Replies
1
Views
3K
MHB System of differential equations involving matrices
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad How Do You Calculate the Dissolution Time of a Corroding Metal Sphere?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Interpreting the Sine Integral in Physics
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Separating the Dirac Delta function in spherical coordinates
  • · Replies 11 ·
Replies
11
Views
6K
Graduate Obtain parameter derivatives solving PDE
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Limit of spherical bessel function of the second kind
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Differential Equations not solvable
  • · Replies 5 ·
Replies
5
Views
2K
Graduate What is the closed-form solution using ALS algorithm to optimize
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Why does h = h(x,y,θ,φ) prevent (1.39) from being an exact differential?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Need help solving a differential equation
  • · Replies 9 ·
Replies
9
Views
2K
Graduate Can someone walk me through solving a PDE numerically?
  • · Replies 12 ·
Replies
12
Views
2K
Graduate Whittaker's solution and separable variables
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Understanding the method of Green's function
  • · Replies 2 ·
Replies
2
Views
2K