- Problem 2 Naren Is Dating A Girl Named Felicity Naren And Felicity Both Cautiously Follow Their Hearts If One Has Posi 1 (12.23 KiB) Viewed 37 times
- Problem 2 Naren Is Dating A Girl Named Felicity Naren And Felicity Both Cautiously Follow Their Hearts If One Has Posi 2 (53.57 KiB) Viewed 37 times
Felicity likes him, he likes her much more, and if Felicity dislikes him, he likes her less. Felicity, on the other hand, does not like "clingy" people--if Naren likes her more, she tends to like him a little bit less. She is also susceptible to playing "hard to get"-if Naren dislikes her, she tends to like him more. Being an engineer, Naren has modeled these emotional dynamics with the following set of coupled ordinary differential equations: N(t) = 0.1N (t) + 1F(t) F(t) = -0.5N (t) + 0.1F(t), Solve the system of o.d.e.s by hand using eigenvalues and eigenvectors to determine the fate of "Naricity" if N(0) = 1 and F(0) = 0, and plot the solution parameterized by t from t = 0 to t = 10, i.e., plot F(t) vs. N(t). What will become of Naricity? You may use MATLAB's left division to solve systems of linear equations. Suggestion: You must show your work, but use MATLAB as your calculator because the numbers are a little annoying.