# Questions tagged [differential-equations]

Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.

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### Dynamical PDE system tutorials

Which are some up-to-date tutorials or books on integrating dynamical PDE systems (involving chaos, Shock waves, etc.) with Mathematica 10.0?
100 views

### How to solve this partial differential equation for $f$?

I want Mathematica to solve for the function $f$. $f$ satisfies the following constraints. $\frac{\partial}{\partial x} f(x,y) = y$ $\frac{\partial}{\partial y} f(x,y) = x$ $f(0,0)=0$ It would ...
106 views

### Non-linear ODE from closed-loop system and Response

I started using Mathematica 12 and ran into difficulties. Namely, I want to compare the results of the calculation of a closed system from Simulink and in Mathematica. I rummaged around a bit on the ...
56 views

### Solving an algebraic-differential equation

I cannot find the relevant part in the documentation. Maybe you have a quick solution to my problem. Background Sometimes you want to propagate in time some system of ODEs, but not all the variables ...
71 views

### Update initial conditions recursively/sequentially within ParallelTable using NDSolve

I am modelling 3D motion of particles inside a force-field using second-order coupled PDEs, which I solve from time t=t0 to t=t1 with initial conditions x0,y0,z0. I have a total number of "particles" ...
179 views

### How to solve this differential equation analytically?

How can I DSolve the following differential equation? Is there an analytical answer to this equation? ...
52 views

### Evaluation functions with lower and upper limit ODE?

How do I find the numerical value of y at 0 and also at 1. Here is my code. I appreciate any help. ...
70 views

### Matrix of functions

I want to create a matrix of functions. As explained in this question, I can create a matrix of variables: ...
66 views

### 1D transport equation with Neumann conditions

I'm trying to solve 2nd order differetntial equation of heat transfer-type in a finite system x<0,L>, in particular: ...
56 views

### Get the derivative function plot from a NDSolve solution

I been trying to plot the derivative function of j[t], being j'[t]. Here a look to the code. I would appreciate your help. Thank you ...
39 views

### Sensitivity analysis of a hybrid system (using WhenEvent) using ParametricNDSolve [closed]

I am trying to do a sensitivity analysis using ParametricNDSolve for a hybrid system. with the following event: ...