MATH 308 Final: MATH 308 TAMU Final 14c
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On my honor, as an aggie, i have neither given nor received unauthorized aid on this work. In all questions, no analytical work no points. Each question is 5 points unless noted otherwise: solve the initial value problem y + 3 x y = 4 ln(x), y(1) = 4: solve the initial value problem dy dx cos(x y) + 2x cos(x y) 3y2 , y( ) = 0. (hint: this equation is either linear, separable or exact. , find the general solution of x . 6x = et: find the general solution of x + 4x = cos(2t), for the system and the critical point at (0, 0), x = 2 1. Bonus +2 points (no partial credit): draw and explain the phase portrait at the change point. 6. (10 points) for the competing species system x = x(5 x 2y), y = y(3 y x),
