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Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.
-1
votes
2
answers
357
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Manipulate NDsolve 1D-reaction diffusion equation
I want to solve the following 1D-reaction diffusion equation:
$$\frac{\partial}{\partial t}u(t,x)=\alpha\,\frac{\partial^{2}}{\partial x^{2}}u(t,x)+a\,u(t,x)$$
$$u(t,0)=0\,\,\,\,\,\text{et}\,\,\,\,\,u …
8
votes
2
answers
485
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Time dependent delay differential equation
The command NDSolve is really good at solving delay differential equations.
$$x'(t)=x(t)(1-x(t-d))$$
d := 1.4;
sol = NDSolve[{x'[t] == x[t] (1 - x[t - d]), x[t /; t <= 0] == 1.5}, x, {t, -d, 60}];
Plo …