MTH 425 Lecture Notes - Lecture 7: Bookkeeping, Superposition Principle, Asteroid Family

9. The differential equation t^2 d^2y/dt^2 - dy/dt - y = 0 (a) Linear and nonhomogeneous (b) Nonlinear and homogeneous Linear and homogeneous (d) Nonlinear and nonhomogeneous

9. The differential equation is (a) Linear and nonhomogeneous (b) Nonlinear and homogeneous (c) Linear and homogeneous (d) Nonlinear and nonhomogeneous

(1 + 5)y (1-2)y 9m +7,2. 3y +4y2. yi (1)=0. y2(1)=2. = = a. This system of linear differential equations can be put in the form y" - POy+gt). Determine P) and gt). P(t)- g(t) = b. Is the system homogeneous or nonhomogeneous? Choose c. Find the largest interval a