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Results tagged with differential-equations
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user 52225
Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.
1
vote
1
answer
628
views
Solving two coupled first order differential equations
I have the following system of coupled differential equations:
$\frac{d x(t)}{dt} = c_1 x(t) - c_2 y(t) + \gamma_1(t)$ and $\frac{d y(t)}{dt} = c_2 x(t) - c_1 y(t) + \gamma_2(t)$
eqns :=
{x'[t] …
- 663
-1
votes
1
answer
793
views
Bloch dynamics on Bloch sphere
Bloch equations of motion for a system are given by
x'[t] == 1.3 x[t] z[t] ;
y'[t] == 1.3 z[t]*y[t] - 1.4 z[t];
z'[t] == 1.4 z'[t]^2 - 0.3 + 2 y[t] - 1 y[t];
With $x^2+y^2+z^2=1/4$. How can I gen …
- 663
0
votes
1
answer
59
views
Solutions of four linear differential equations [closed]
I have a set of four differential equations represented by the following matrix equation:
x1'[t] == (-p + I q)*x1[t] + I*m*x3[t];
x2'[t] == (-p + I q)*x2[t] + I*m*x4[t];
x3'[t] == (r + I s)*x3[t] + …
- 663
1
vote
2
answers
784
views
3 differential equation and Plot3D
I have the following set of 4 differential equations
x'[t] == 4 a x[t] z[t] + 2 b z[t] Sin[p];
y'[t] == 4 a z[t]*y[t] - 2 (1 - a Cos[p]) z[t];
z'[t] == a (4 (z'[t])^2 - 1) + 2 y[t] -
2 b (y[t] Co …
- 663