Differential Equations Forum

Join in expert discussion on differential equation topics like ODE and PDE. Differential equations are an equation involving derivatives of a function or functions.

Threads

Graduate Solving non-linear system by linearization

  • nikolafmf
  • · Replies 2 ·
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2

Boundary Conditions of the Third Kind

  • Dustinsfl
  • · Replies 1 ·
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1

Graduate Beam on varying-stiffness foundation: EI*y''''+ k*y/x³=0

  • hushish
  • · Replies 26 ·
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26

Graduate Properties of Differential Operator and Proper Formalism

  • Nano-Passion
  • · Replies 3 ·
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3

Graduate Why don't eigenfunctions of a Sturm-Liouville problem span all functions?

  • ShayanJ
  • · Replies 2 ·
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2

Graduate Crank-Nicolson instability in 3D

  • WastedMeat
  • · Replies 5 ·
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5

Graduate Solving dx/dt = 2a²x² - 2bx - c²(y)t for thesis

  • Luisvzz
  • · Replies 1 ·
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1

Graduate Solving a Partial Differential Equation (PDE)

  • kirppu
  • · Replies 2 ·
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2

Graduate Differentiate y = ln(x² + sin x)exp^(4x cos x)(2x + 1)^8

  • Hurly
  • · Replies 1 ·
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1

Undergrad What is the Fundamental Frequency in the Fourier Series of cos4t + sin8t?

  • helderdias
  • · Replies 3 ·
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3

Undergrad What are the real-world applications of higher-order ODEs?

  • StationZero
  • · Replies 5 ·
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5

Graduate Second order nonlinear differential equation

  • equation M
  • · Replies 1 ·
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1

Undergrad Solving a differential equation with a constant term

  • phiby
  • · Replies 1 ·
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1

Undergrad Where are nonlinear dynamics and chaos theory used?

  • MathWarrior
  • · Replies 8 ·
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8

Graduate Why does analyticity of solutions depend on analyticity of coefficients?

  • Tosh5457
  • · Replies 3 ·
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3

Fourier Transform of f'(ax): Discrepancy in Results?

  • Poirot1
  • · Replies 1 ·
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1

Graduate Ill-posed inverse problem (linear operator estimation)

  • bpet
  • · Replies 4 ·
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4

Graduate Harmonic Functions, conjugates and the Hilbert Transform

  • nickthequick
  • · Replies 1 ·
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1

Coefficient solving for a PDE-eigenfunction

  • Dustinsfl
  • · Replies 5 ·
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5

Graduate Boundary Value Problem and ODE: How to Rescale and Solve for Inner Solutions?

  • fionamb83
  • · Replies 2 ·
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2

Graduate Solving ODEs: Is There Any Hope?

  • James4
  • · Replies 2 ·
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2

Undergrad Second order circuit with 2 capacitors to differential equation

  • nicksname
  • · Replies 6 ·
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6

Undergrad Solution to PDA: Solving 12x3 + 6x2 + 9x

  • AbsoluteZer0
  • · Replies 1 ·
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1

Damped forced vibration solution doesn't match

  • shorty1
  • · Replies 7 ·
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7

Undergrad Calculator that solves differential equation

  • Femme_physics
  • · Replies 12 ·
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12

Graduate Nonlocal Physics: Boundary Integral Conditions

  • mathmai
  • · Replies 2 ·
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2

Graduate Exact Solution of Geometric Brownian Motion

  • Tilde90
  • · Replies 2 ·
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2

Graduate How does the shrinking core model equation simplify from volume to diameter?

  • cycling4life
  • · Replies 1 ·
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1

Graduate What can we say about the solution of this PDE?

  • mousakas
  • · Replies 7 ·
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7

High School What do t and dt mean in an integral?

  • xeon123
  • · Replies 7 ·
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7

Undergrad Why does the cosine Fourier series start at n=0?

  • deckoff9
  • · Replies 3 ·
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3

Undergrad How to determine if a higher order ODE is homogeneous

  • kimkibun
  • · Replies 1 ·
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1
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3
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2

Vanishing wronskian for linearly independent solutions

  • issacnewton
  • · Replies 5 ·
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5

Graduate Diracs delta equation - general interpretation

  • finitefemmet
  • · Replies 3 ·
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3

Graduate Why Are Boundary Conditions Zero for \(\phi\) in Partial Differential Equations?

  • omoplata
  • · Replies 4 ·
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4

Undergrad Can this be turned into a differential equation? Recursive diffy Q?

  • DrummingAtom
  • · Replies 3 ·
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3

Graduate Continuity of (x^2 + y^2)sin(1/(x^2+y^2)) Derivative at 0

  • brydustin
  • · Replies 4 ·
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4

Graduate Radial solutions to laplace equation

  • wumple
  • · Replies 8 ·
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8

Graduate How Can Visual Learners Master PDEs and Fourier Transforms?

  • Illuminerdi
  • · Replies 6 ·
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6

Graduate Factorising and integrating a differential

  • eddysd
  • · Replies 5 ·
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5

Graduate Derivation for Rodrigues formula (orthogonal polynomials)

  • J Hill
  • · Replies 1 ·
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1

Graduate Solving a Tricky Substitution with d^2x/dt^2

  • strokebow
  • · Replies 3 ·
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3

Pharaoh's Taylor series question from Yahoo Answers

  • CaptainBlack
  • · Replies 1 ·
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1

Undergrad Laplace transform of a product of functions

  • HAL10000
  • · Replies 2 ·
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2

Graduate Laplace analysis of RLC and RLCC circuits

  • Muddyrunner
  • · Replies 3 ·
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3

Graduate Finding the maximum speed for a vector?

  • mathgirl313
  • · Replies 2 ·
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2

Find Value of $k$ for Equation with One Real Solution

  • juantheron
  • · Replies 3 ·
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3

Graduate Proving the non-existence of a function.

  • m84uily
  • · Replies 2 ·
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2

Undergrad Why Add Homogeneous and Particular Solutions in Linear Differential Equations?

  • DrummingAtom
  • · Replies 8 ·
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8

Graduate What Does a Linear Functional Do?

  • meldraft
  • · Replies 2 ·
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2

Graduate What is the missing term in the differential equation?

  • jacobrhcp
  • · Replies 4 ·
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4

Graduate How Do You Solve the Complex Equation \( z^2 + 4\overline{z} + 4 = 0 \)?

  • ronho1234
  • · Replies 4 ·
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4

Graduate Qualitative implications of parameter shift in non-autonomous ODE

  • tjc
  • · Replies 1 ·
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1

Undergrad How Do You Plot Level Curves for the Function z=(x²-2y+6)/(3x²+y)?

  • ronho1234
  • · Replies 2 ·
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2

Graduate Elements in sets that are common

  • ronho1234
  • · Replies 1 ·
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1

Graduate Numerical PDE boundary problem methodology

  • jacobrhcp
  • · Replies 2 ·
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2

Graduate What is the inverse Laplace transform of F(s)?

  • guava91011
  • · Replies 1 ·
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1

Graduate Velocities in inertial and rotating frames of reference

  • ryan88
  • · Replies 2 ·
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2

Polar form analysis of x'=y+xf(r²), y'=-x+yf(r²)

  • Poirot1
  • · Replies 2 ·
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2

Undergrad Looks same as distinct root solution

  • doey
  • · Replies 3 ·
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3

Graduate 4th order Runge Kutta method for 2nd order ODE

  • Cypeq
  • · Replies 6 ·
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6

Graduate Is differential equations a prerequisite for real analysis?

  • woundedtiger4
  • · Replies 3 ·
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3

Graduate Solving ẍ = -⅙ẋ - (2/7)(1-S)² for analytic solution

  • motavassely
  • · Replies 4 ·
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4

Graduate Is the dimension of a 2nd order ODE always 2?

  • ashok vardhan
  • · Replies 3 ·
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3

Graduate What does 2nd ord pde tell you? like fxx(x,y)

  • brandy
  • · Replies 3 ·
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3

Graduate Can a Dynamical System Have Multiple Locally Stable Equilibria?

  • Ali 2
  • · Replies 4 ·
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4

Graduate Non-homogeneous Boundary value Problem

  • primaryd
  • · Replies 1 ·
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1

Graduate ODE y''+b^2 y=0 where b is vector

  • mogul
  • · Replies 1 ·
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1

Graduate What Is the Laplace Transform Formula for \(\mathcal{L}[f(t) \cdot g'(t)]\)?

  • HWGXX7
  • · Replies 1 ·
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1
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8
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4

Undergrad What Does (\frac{\partial z}{\partial x})y Indicate?

  • brandy
  • · Replies 1 ·
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1

Graduate General solution to partial differential equation (PDE)

  • manchester20
  • · Replies 1 ·
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1

Graduate Finding the particular/complementary solution from a laplace transform

  • eggshell
  • · Replies 1 ·
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1

Graduate PDE and finding a general solution

  • meghibbert17
  • · Replies 3 ·
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3

Graduate Derivation of normal surface vector of a quasilinear PDE

  • nigels
  • · Replies 1 ·
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1

Graduate Linearizing \dot{x}+√x = 0 when the derivative is undefined at equilibrium

  • FaroukSchw
  • · Replies 3 ·
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3

Undergrad Extended tables of Laplace transforms

  • Muddyrunner
  • · Replies 2 ·
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2

Graduate Practice Problems to Nonlinear Dynamics Strogatz Book

  • X89codered89X
  • · Replies 2 ·
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2

Graduate Black-Scholes PDE and finding the general solution

  • meghibbert17
  • · Replies 1 ·
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1

Graduate Solving Euler-Lagrange equation with logarithmic Lagrangian

  • songhaegyo
  • · Replies 4 ·
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4

Undergrad Computer Program for Dog Chasing Rabbit

  • corey2014
  • · Replies 3 ·
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3

Graduate Fourier series (maybe) of e^x from 0 to 2pi

  • iceblits
  • · Replies 1 ·
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1

Graduate Inverting Laplace transform for heat equation with Neumann BCs

  • chrissimpson
  • · Replies 7 ·
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7

Undergrad Integrating factors for 1st OLDE

  • Square1
  • · Replies 2 ·
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2

Graduate How to Solve an ODE Problem when one of parameters is dependent to derivative?

  • mahdi_zabchek
  • · Replies 6 ·
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6

Graduate Converting a 2nd order PDE with mixed derivatives to characteristic form

  • aurban
  • · Replies 1 ·
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1

Graduate How to construct the measurement matrix in an extended Kalman filter

  • mikedamike
  • · Replies 24 ·
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24

Graduate Kalman Filter Derivation with Non-Diagonal Q Matrix

  • spirall
  • · Replies 2 ·
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2

Undergrad Why is it useful to isolate the highest order derivative when solving DEs?

  • cocopops12
  • · Replies 2 ·
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2

Graduate Second order diff. eq. Frobenius

  • Telemachus
  • · Replies 6 ·
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6

Graduate How to Solve a Nonlinear ODE with a Complex Threshold

  • donifan
  • · Replies 13 ·
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13

Graduate Solving an ODE with eulers formula.

  • cragar
  • · Replies 4 ·
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4

Graduate Solving nonlinear first order DE w/ fractional exponents

  • hotwheelharry
  • · Replies 3 ·
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3

Solving for P02 using Integrating Factor?

  • themurgesh
  • · Replies 5 ·
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5

Graduate No. of solutions of 1st and 2nd order ODE

  • Trave11er
  • · Replies 1 ·
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1

Undergrad Solving y'=(x^2-y^2)/xy as a Bernoulli equation

  • AoD
  • · Replies 1 ·
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1

Undergrad Differential Equation: d^2y/dx^2 + y = 0

  • strokebow
  • · Replies 1 ·
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1