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Results tagged with differential-equations
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user 27095
Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.
4
votes
Differential equation and For loop in Mathematica
Corrected version of the For-loop:
For[u = 0, u <= 1, u = u + 0.1,
s = NDSolve[{x1'[t] == u*(10*x2[t] - x1[t]), x1[0] == 1,
x2'[t] == u*(x1[t] - 10*x2[t]) - (1 - u)*x2[t], x2[0] == 0}, {x1,
…
- 577
7
votes
How do you find the eigenvalues of a PDE (Dynamic Euler-Bernoulli beam)?
The discrete formulation of the vibration movement of an elastic structure is
$$[M]\cdot \ddot x + [K]\cdot x=0$$
where $[M]$ is the mass and [K] is the stiffness Matrix. With the harmonic solution …
- 577
4
votes
Free-fall air resistance problem
There is no solution to your equation. If you specify Reals for k Mathematica outputs an empty list as solution:
NSolve[113.68/k + 1345.6/k^2*(1 - Exp[-k/11.6]) == -4.9, k, Reals]
(*{}*)
If you plo …
- 577