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.
MHB -find general solution y'+2y=2-e^(-4t), y(0)=1
  • · Replies 7 ·
Replies
7
Views
4K
MHB Difficult first order linear differential equation
  • · Replies 3 ·
Replies
3
Views
2K
MHB -aux.2.7.15 Euler's y'=\frac{3t^2}{3y^2-4}; y(1)=0
  • · Replies 11 ·
Replies
11
Views
3K
I How do I find the integrating factor for a differential equation?
  • · Replies 2 ·
Replies
2
Views
2K
I How to solve an ODE to find its solution
  • · Replies 7 ·
Replies
7
Views
2K
MHB -s1.2.4 Find the equilibrium solution y_e
  • · Replies 3 ·
Replies
3
Views
2K
MHB Understanding Initial Value Problems: Solving for y in y' = y-5 with y(0) = y0
  • · Replies 2 ·
Replies
2
Views
2K
I What Are the Roles of Beta, Prandtl, and Rayleigh in Chaos Theory?
  • · Replies 17 ·
Replies
17
Views
4K
I How to check chaotic system using Lyapunov
  • · Replies 3 ·
Replies
3
Views
3K
I Where does the exponential function come from in roots?
  • · Replies 2 ·
Replies
2
Views
2K
MHB -1.1.1c Solve for the following initial value
  • · Replies 5 ·
Replies
5
Views
2K
MHB How Do Boundary Conditions Affect Differential Equations?
  • · Replies 7 ·
Replies
7
Views
2K
MHB How do I find the interval for solving this differential equation?
  • · Replies 4 ·
Replies
4
Views
2K
MHB -2.2.20 IVP interval....trig subst y^2(1-x^2)^{1/2} \,dy=\arcsin{x}\,dx
  • · Replies 4 ·
Replies
4
Views
2K
I Why Does the First Eigenfunction Have a Zero in Sturm-Liouville Problems?
  • · Replies 1 ·
Replies
1
Views
2K
I Transfer Function relating momentum and force
  • · Replies 2 ·
Replies
2
Views
2K
MHB Finding Iterative Solutions to Non-Linear Equations
  • · Replies 4 ·
Replies
4
Views
2K
I Can Euler Integration Simplify Chaotic Systems?
  • · Replies 5 ·
Replies
5
Views
2K
MHB -b.2.2.18 IVP DE complete the square?
  • · Replies 3 ·
Replies
3
Views
2K
Partial Differential Equation Mathematical Modelling
  • · Replies 1 ·
Replies
1
Views
2K
MHB 2.2.16 (a) intial value (b) interval
  • · Replies 9 ·
Replies
9
Views
2K
MHB -2.2.12 dr/dθ = r^2/θ, r(1) = 2 IVP, graph, interval
  • · Replies 8 ·
Replies
8
Views
3K
MHB -2.2.12 IVP y'=2x/(y+x^2y), y(0)=-2
  • · Replies 2 ·
Replies
2
Views
2K
A Differential Equation to Difference Equation
  • · Replies 3 ·
Replies
3
Views
3K
I How do you know when to partially differentiate?
  • · Replies 1 ·
Replies
1
Views
2K
MHB -02.2.11 initial value, graph, intervals xdx+ye^{-x}dy=0, \quad y(0)=1
  • · Replies 5 ·
Replies
5
Views
2K
A How Can I Linearize \( f(t) = \sin(\Phi(t)) \) Using Laplace Transform?
  • · Replies 5 ·
Replies
5
Views
2K
A Solving the Laplace equation over a trapezoidal domain
  • · Replies 2 ·
Replies
2
Views
2K
I Solving a nonlinear first order differential equation
  • · Replies 8 ·
Replies
8
Views
2K
MHB Solutions of DE System & 2nd Order Differential Equation
  • · Replies 2 ·
Replies
2
Views
2K
I How Do Boundary Conditions Change When a Beam Is Fixed at x=L Instead of x=0?
  • · Replies 1 ·
Replies
1
Views
2K
A Need help solving Darboux equation
  • · Replies 1 ·
Replies
1
Views
2K
A Rayleigh quotient Eigenvalues for a simple ODE
  • · Replies 1 ·
Replies
1
Views
2K
I Sketching simple coupled oscillators
  • · Replies 2 ·
Replies
2
Views
2K
I How does the substitution x = 1/z transform Bessel's Equation?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Partial differential equations problem - finding the general solution
  • · Replies 2 ·
Replies
2
Views
2K
A Solution form for the following differential equation
  • · Replies 2 ·
Replies
2
Views
2K
I Y'' + y = 0 solution and recursion relation
  • · Replies 3 ·
Replies
3
Views
2K
MHB Can You Solve These Challenging ODE Exam Questions?
  • · Replies 1 ·
Replies
1
Views
2K
A Is There a Solution for a Particle Falling into a Gravitational Well?
  • · Replies 3 ·
Replies
3
Views
2K
I What exactly is linear dependency? 2nd and 3rd Order Diff EQ
  • · Replies 1 ·
Replies
1
Views
2K
MHB Help: Differential equation Romeo & Juliet
  • · Replies 4 ·
Replies
4
Views
2K
I Using a bifurcation diagrams and time dependent parameters
  • · Replies 2 ·
Replies
2
Views
2K
A Finite Difference Scheme - Plume Entrainment
  • · Replies 2 ·
Replies
2
Views
2K
MHB -2.1.6 ty'- 2y =\sin{t}, t>0
  • · Replies 7 ·
Replies
7
Views
3K
MHB Can Algebra Alone Rearrange This Differential Equation?
  • · Replies 1 ·
Replies
1
Views
1K
Mathematical Biology- Neumann BCs, Turing Analysis
  • · Replies 1 ·
Replies
1
Views
2K
MHB Existence and uniqueness of solution
  • · Replies 4 ·
Replies
4
Views
2K
MHB Finding Equilibrium Solutions & Stability of $(1)$
  • · Replies 4 ·
Replies
4
Views
2K
A Inverted pendulum car - pedulum will not swing
  • · Replies 2 ·
Replies
2
Views
2K
I Metric for knowing when numerical BC is "good"
  • · Replies 25 ·
Replies
25
Views
3K
MHB Solving the Shock Wave Problem for $u_t + uu_x = 0$
  • · Replies 6 ·
Replies
6
Views
2K
A Taylor expansion for a nonlinear system and Picard Iterations
  • · Replies 3 ·
Replies
3
Views
2K
I General solution to a 2nd-order differential equation
  • · Replies 7 ·
Replies
7
Views
2K
MHB Is this the desired bounded set of the wave equation?
  • · Replies 8 ·
Replies
8
Views
2K
MHB Find formula for solution heat equation
  • · Replies 28 ·
Replies
28
Views
4K
MHB Solve Laplace equation on unit disk
  • · Replies 33 ·
2
Replies
33
Views
5K
I Real life application of Euler's method/numerical method
  • · Replies 11 ·
Replies
11
Views
22K
MHB What Values of r Satisfy Differential Equations with Exponential Solutions?
  • · Replies 5 ·
Replies
5
Views
2K
I Understanding Linearity of Differential Equations
  • · Replies 8 ·
Replies
8
Views
2K
I Is this numerical techique for solving ODEs widely known?
  • · Replies 2 ·
Replies
2
Views
2K
I Derivation of Lax-Wendroff finite volume scheme
  • · Replies 1 ·
Replies
1
Views
2K
MHB Is it implied that the problem is well-defined?
  • · Replies 5 ·
Replies
5
Views
2K
MHB Differential equation with a matrix
  • · Replies 5 ·
Replies
5
Views
2K
I Solving PDE's with chebychev FFT
  • · Replies 11 ·
Replies
11
Views
3K
MHB -b.3.1.9 Find the solution of y''+y'-2y=0\quad y(0)=1; y'(0)=1.
  • · Replies 1 ·
Replies
1
Views
2K
MHB -b.3.1.1 find the general solution of the second order y''+2y'-3y=0
  • · Replies 3 ·
Replies
3
Views
2K
MHB De1.2.1 Solve the following initial value problem
  • · Replies 7 ·
Replies
7
Views
3K
A 1D Convection Diffusion Equation - Inlet Mixing Effect
  • · Replies 7 ·
Replies
7
Views
4K
MHB -2.1.17 IVP y''-2y=e^{2t} \quad y(0)=2
  • · Replies 10 ·
Replies
10
Views
2K
MHB -aux.2.2.02 y=\phi(x)=(1-x^2)^{-1} is a solution IVP
  • · Replies 6 ·
Replies
6
Views
2K
MHB Using Euler's Method to find the general solution to the diff. equation
  • · Replies 1 ·
Replies
1
Views
2K
I Solution:Second Order Linear Non-Homogenous ODEs in Physics
  • · Replies 1 ·
Replies
1
Views
2K
I RL circuit with polynomial forcing function solution (units)
  • · Replies 6 ·
Replies
6
Views
2K
A Runge-Kutta: Maintaining Units in Numerical Methods
  • · Replies 16 ·
Replies
16
Views
3K
A What Is the Correct Formulation of the Lax Equation for i=1 in the KP Hierarchy?
  • · Replies 0 ·
Replies
0
Views
2K
MHB -b.2.1.14 Solve y'+2y=te^{-2t}, y(1)=0
  • · Replies 9 ·
Replies
9
Views
5K
MHB -2.2.1 separable variables y'=\frac{x^2}{y}
  • · Replies 10 ·
Replies
10
Views
3K
MHB -2.2.2 Separable eq y'=(x^2)/y(1+x^3)
  • · Replies 5 ·
Replies
5
Views
2K
MHB 2.1.13 ok this isn't uv'+u'v
  • · Replies 4 ·
Replies
4
Views
2K
I Overdamping Condition of Nonlinear Equation
  • · Replies 3 ·
Replies
3
Views
2K
MHB -2.1.10 solve ty' -y =t^2e^{-1} u(x)
  • · Replies 5 ·
Replies
5
Views
2K
MHB 2.1.7 DE y'e -2ty =2te^(-t^2)
  • · Replies 3 ·
Replies
3
Views
2K
MHB -b.2.1.5 Find the general solution of y' - 2y =3te^t,
  • · Replies 2 ·
Replies
2
Views
2K
MHB 2.1.2 Find the general solution of the given differential equation
  • · Replies 2 ·
Replies
2
Views
1K
MHB -1.3.9 Verify ty'-y=t^2 is a solution of the DE
  • · Replies 1 ·
Replies
1
Views
1K
MHB -1.3.14 Verify the following given functions is a solution
  • · Replies 7 ·
Replies
7
Views
2K
MHB Initial value problem of the wave equation
  • · Replies 3 ·
Replies
3
Views
2K
A Generalization of hypergeometric type differential equation
  • · Replies 1 ·
Replies
1
Views
2K
I Is the exponential function, the only function where y'=y?
  • · Replies 11 ·
Replies
11
Views
2K
MHB A NEW Method for solving differential equation - case studies
  • · Replies 1 ·
Replies
1
Views
2K
MHB Verify Solutions of Differential Equation y''-y=0
  • · Replies 12 ·
Replies
12
Views
3K
A How can scaling symmetry transform differential equations in geometry?
  • · Replies 6 ·
Replies
6
Views
2K
MHB What is Associated Legendre polynomials
  • · Replies 1 ·
Replies
1
Views
2K
MHB 2.2.8 de xy'+2y=sin x,y(pi)=1/pi find solution
  • · Replies 2 ·
Replies
2
Views
2K
MHB Show that solution is infinitely many times differentiable
  • · Replies 25 ·
Replies
25
Views
4K
MHB -aux.2.2.4 de y'+(\cot x)y&=2 \csc x; y(\pi/2)=a
  • · Replies 2 ·
Replies
2
Views
1K
MHB How does the solution for the initial value problem change over time?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Soln of IVP: $y = \frac{e^x + 1 - e}{x}, \space x>0$
  • · Replies 1 ·
Replies
1
Views
1K
MHB 2.2.5 de equation with y(1)=1/2
  • · Replies 4 ·
Replies
4
Views
1K