# Questions tagged [differential-equations]

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

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### Plotting a two parameter function evaluated at a specific point

I am trying to solve the following problem: given the differential equation $$\frac{d^2y}{dx^2}+\bigg(a+b\frac{2}{\pi}\tan^{-1}x\bigg)y=0$$ subjected to two different initial condition we get two ...
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### DSolve function is not working for Hypergeometric Function

I am trying to get the solution of second order differential equation, but it is not working. Any idea about it will help me a lot. ...
33 views

### Error message when trying to solve 2 coupled PDEs using NDSolve

I'm currently facing a problem when trying to solve 2 coupled PDEs. I get the warning messages: NDSolve::fembdcc: Cross-coupling of dependent variables in DirichletCondition[IPF==IPB/10,z==5.] is not ...
17 views

### NDSolve::ndnum: Encountered non-numerical value for a derivative at x == 0 [closed]

sol = NDSolve[{y''[x] == -(9.8/5)*sin[y[x]], y == 25 Degree , y' == 0}, y, {x, -10, 10}]
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94 views

### Using NDSolve for differential equations

I'm trying to numerically solve the following differential equations eqs for plotting the bifurcation diagram. However, under special values of the parameter u, I get a problem when calculating the ...
95 views

### Determining the price of an option using Black-Scholes

Code for randomly generated interest rates: ...
126 views

### How to combine NDSolve interpolating functions?

In the following working example ...
128 views

### How to create an animation of charged particles' motion in an electric field

I am trying to create an animation of 3 particles' motion in an electric field. The electric field is created by a needle attached to a top plate both of which are at -3800V with a grounded plate ...