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

Undergrad Metric for knowing when numerical BC is "good"

  • member 428835
  • · Replies 25 ·
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25

Solving the Shock Wave Problem for $u_t + uu_x = 0$

  • evinda
  • · Replies 6 ·
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6

Graduate Taylor expansion for a nonlinear system and Picard Iterations

  • Ulver48
  • · Replies 3 ·
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3

Undergrad General solution to a 2nd-order differential equation

  • piggees
  • · Replies 7 ·
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7

Is this the desired bounded set of the wave equation?

  • evinda
  • · Replies 8 ·
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8

Find formula for solution heat equation

  • evinda
  • · Replies 28 ·
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28

Solve Laplace equation on unit disk

  • evinda
  • · Replies 33 ·
2
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33

Undergrad Real life application of Euler's method/numerical method

  • ChanYoung Park
  • · Replies 11 ·
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11
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5

Graduate Kalman Filtering with missing observations

  • Todor
  • · Replies 6 ·
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6

Undergrad Understanding Linearity of Differential Equations

  • APUGYael
  • · Replies 8 ·
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8

Undergrad Is this numerical techique for solving ODEs widely known?

  • m4r35n357
  • · Replies 2 ·
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2

Undergrad Derivation of Lax-Wendroff finite volume scheme

  • fahraynk
  • · Replies 1 ·
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1

Is it implied that the problem is well-defined?

  • evinda
  • · Replies 5 ·
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5

Bessel Function: a^2-b^2 Integral Relationship

  • Another1
  • · Replies 1 ·
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1

Differential equation with a matrix

  • Rorschach
  • · Replies 5 ·
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5

How does the Bessel Function Expansion relate to J_{0}(u+v)?

  • Another1
  • · Replies 3 ·
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3

Undergrad Solving PDE's with chebychev FFT

  • fahraynk
  • · Replies 11 ·
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11

-b.3.1.9 Find the solution of y''+y'-2y=0\quad y(0)=1; y'(0)=1.

  • karush
  • · Replies 1 ·
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1

-b.3.1.1 find the general solution of the second order y''+2y'-3y=0

  • karush
  • · Replies 3 ·
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3

De1.2.1 Solve the following initial value problem

  • karush
  • · Replies 7 ·
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7

Graduate 1D Convection Diffusion Equation - Inlet Mixing Effect

  • HumanistEngineer
  • · Replies 7 ·
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7

-2.1.17 IVP y''-2y=e^{2t} \quad y(0)=2

  • karush
  • · Replies 10 ·
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10

Undergrad On the Coriolis Forcing vector and its Matrix

  • Gear300
  • · Replies 1 ·
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1

-aux.2.2.02 y=\phi(x)=(1-x^2)^{-1} is a solution IVP

  • karush
  • · Replies 6 ·
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6

Using Euler's Method to find the general solution to the diff. equation

  • manzneedshelp
  • · Replies 1 ·
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1

Undergrad Solution:Second Order Linear Non-Homogenous ODEs in Physics

  • Dimitris Papadim
  • · Replies 1 ·
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1

Undergrad RL circuit with polynomial forcing function solution (units)

  • K Murty
  • · Replies 6 ·
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6

Undergrad Two-dimensional vector representation

  • Gribouille
  • · Replies 4 ·
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4

Graduate Runge-Kutta: Maintaining Units in Numerical Methods

  • Roboto
  • · Replies 16 ·
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16

Graduate What Is the Correct Formulation of the Lax Equation for i=1 in the KP Hierarchy?

  • nrqed
  • · Replies 0 ·
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0

Explore the Multiple Grid Method: Get Accurate Solution Faster

  • mathmari
  • · Replies 36 ·
2
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36

-b.2.1.14 Solve y'+2y=te^{-2t}, y(1)=0

  • karush
  • · Replies 9 ·
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9

-2.2.1 separable variables y'=\frac{x^2}{y}

  • karush
  • · Replies 10 ·
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10

-2.2.2 Separable eq y'=(x^2)/y(1+x^3)

  • karush
  • · Replies 5 ·
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5

2.1.13 ok this isn't uv'+u'v

  • karush
  • · Replies 4 ·
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4

Undergrad Overdamping Condition of Nonlinear Equation

  • LagrangeEuler
  • · Replies 3 ·
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3

-2.1.10 solve ty' -y =t^2e^{-1} u(x)

  • karush
  • · Replies 5 ·
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5

2.1.7 DE y'e -2ty =2te^(-t^2)

  • karush
  • · Replies 3 ·
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3

-b.2.1.5 Find the general solution of y' - 2y =3te^t,

  • karush
  • · Replies 2 ·
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2

2.1.2 Find the general solution of the given differential equation

  • karush
  • · Replies 2 ·
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2

Graduate Interdependent Recursive Equations

  • Himmel
  • · Replies 2 ·
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2

-1.3.9 Verify ty'-y=t^2 is a solution of the DE

  • karush
  • · Replies 1 ·
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1

-1.3.14 Verify the following given functions is a solution

  • karush
  • · Replies 7 ·
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7

Initial value problem of the wave equation

  • evinda
  • · Replies 3 ·
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3

Graduate Generalization of hypergeometric type differential equation

  • cg78ithaca
  • · Replies 1 ·
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1

Undergrad Is the exponential function, the only function where y'=y?

  • Phylosopher
  • · Replies 11 ·
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11

A NEW Method for solving differential equation - case studies

  • ysammour
  • · Replies 1 ·
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1

Verify Solutions of Differential Equation y''-y=0

  • karush
  • · Replies 12 ·
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12

Graduate How can scaling symmetry transform differential equations in geometry?

  • CE Adamson
  • · Replies 6 ·
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6

What is Associated Legendre polynomials

  • Another1
  • · Replies 1 ·
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1

2.2.8 de xy'+2y=sin x,y(pi)=1/pi find solution

  • karush
  • · Replies 2 ·
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2

Undergrad Region of convergence of a Laplace transform

  • mjtsquared
  • · Replies 1 ·
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1

Show that solution is infinitely many times differentiable

  • evinda
  • · Replies 25 ·
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25

-aux.2.2.4 de y'+(\cot x)y&=2 \csc x; y(\pi/2)=a

  • karush
  • · Replies 2 ·
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2

How does the solution for the initial value problem change over time?

  • evinda
  • · Replies 2 ·
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2

Soln of IVP: $y = \frac{e^x + 1 - e}{x}, \space x>0$

  • karush
  • · Replies 1 ·
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1

2.2.5 de equation with y(1)=1/2

  • karush
  • · Replies 4 ·
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4

-2.2.4 find general solution xy'+2y=e^x

  • karush
  • · Replies 1 ·
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1

-2.2.3 de y'+(\tan x)y=\sin {2x}; -\pi < x < \pi/2

  • karush
  • · Replies 8 ·
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8

-b.2.2.1 de with u subst y' + (1/x)y=\sin x; x>0,

  • karush
  • · Replies 3 ·
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3
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4

Undergrad SHM: Do We Need to Assume Sign of k?

  • Mr Davis 97
  • · Replies 2 ·
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2

Initial and boundary value problem

  • evinda
  • · Replies 1 ·
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1

Graduate Asymptotic solutions to a differential equation

  • robinegberts
  • · Replies 1 ·
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1

Undergrad What is the solution to the heat equation with a constant added?

  • morenopo2012
  • · Replies 1 ·
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1

Solve IVP: What is the solution to the given initial value problem?

  • karush
  • · Replies 4 ·
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4

2.1.7 Find the solution of the given initial value problem.

  • karush
  • · Replies 1 ·
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1

-2.1.1 solve y'+3y = x + e^{-2x}

  • karush
  • · Replies 10 ·
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10

Boundary value problem for Laplace equation

  • evinda
  • · Replies 16 ·
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16

Undergrad What type of convolution integral is this?

  • Hypatio
  • · Replies 10 ·
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10

Did You Solve the Differential Equation Correctly?

  • karush
  • · Replies 5 ·
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5

Solve 2.1.5 DE w/ $y(0)=1$ & Find $\mu(x)$

  • karush
  • · Replies 7 ·
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7

How do you rewrite the given equation as a function of u(x)?

  • karush
  • · Replies 6 ·
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6

Solve DE for y: $\displaystyle y^\prime +y = xe^{-x}+1$

  • karush
  • · Replies 2 ·
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2
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9

[ASK] How much velocity is needed for the rock to be able to hit that bird?

  • Monoxdifly
  • · Replies 2 ·
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2

Solving Geometry Problem in Sediment Bed Research

  • Twan
  • · Replies 2 ·
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2

How do we show that it is finite?

  • evinda
  • · Replies 4 ·
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4

Undergrad Using complex numbers or phasor transform to solve O.D.E's

  • K Murty
  • · Replies 3 ·
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3

Graduate Spectral Theorem to Convert PDE into ODE

  • mertcan
  • · Replies 2 ·
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2

Limit of Integral: Let u, A(x) be Functions

  • mathmari
  • · Replies 5 ·
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5

Change variable to solve equation

  • evinda
  • · Replies 14 ·
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14

Why is the solution single-valued ?

  • evinda
  • · Replies 5 ·
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5

Solving the ODE $u_t+u^2 u_x=0$ with Initial Condition $u(x,0)=2+x$

  • evinda
  • · Replies 7 ·
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7

Verify that the formula provides a solution of the pde

  • evinda
  • · Replies 3 ·
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3
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8
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13

Undergrad Second order ordinary differential equation to a system of first order

  • LSMOG
  • · Replies 3 ·
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3

Undergrad Can all differential equations be turned into algebraic equations via the FT?

  • Riotto
  • · Replies 1 ·
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1

Compact Support of Wave Equation IVP Solutions

  • evinda
  • · Replies 19 ·
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19

Graduate Inverse ODE, Green's Functions, and series solution

  • member 428835
  • · Replies 4 ·
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4

Undergrad How do you integrate eqns with indices?

  • JuanC97
  • · Replies 1 ·
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1
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20

Graduate Converting a Vector Differential Equation in Fluid Mechanics

  • Gribouille
  • · Replies 6 ·
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6

Graduate Higher Order Operator Splitting Method

  • mertcan
  • · Replies 3 ·
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3
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4

Determining Solution Space for Cauchy Problem ($u_t+xu_x=(x+t)u$)

  • evinda
  • · Replies 8 ·
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8

Mixing with Common Drain: Mass of Salt in Two Tanks #46 Nagle

  • mathcoral
  • · Replies 6 ·
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6

Graduate Phase Change Problems: A Student in Coventry Explores Solutions

  • arehman1289
  • · Replies 1 ·
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1