[SOLVED] Amath 568 advanced differential equations homework 1
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and classify the behavior.
(a) x
′ =
2 −5
1 −2
x(b) x
′ =
−1 −1
0 −0.25
x(c) x
′ =
3 −4
1 −1
x(d) x
′ =
2 −5/2
9/5 −1
x(e) x
′ =
2 −1
3 −2
x(f) x
′ =
1
√
3
√
3 −1
x(g) x
′ =
3 −2
2 −2
x2. Consider x
′ = −(x − y)(1 − x − y) and y
′ = x(2 + y) and plot the solutions. Verify
your qualitative dynamics with MATLAB/Python/fortran.3. Consider x
′ = x−y
2 and y
′ = y −x
2 and plot the solutions. Verify your qualitative
dynamics with MATLAB/Python/fortran.4. Consider x
′ = (2 + x)(y − x) and y
′ = (4 − x)(y + x) and plot the solutions. Verify
your qualitative dynamics with MATLAB/Python/fortran.