(a) Verify that y = ce" is a solution, for any %3D real c, of the equation y = 2ty. Left hand side y = Right hand side 2ty = (b) Determinec so that y(0) = 9 Answer: c = Homework 1-2: Problem 2 Previous Problem Problem List Next Problem (1 point) Verify that y = t Int is a solution of the %3D 9y equation y + 78 t where t > 0. %3D Left hand side y %3D 9y First term on the right %3D Right hand side %3D Homework 1-2: Problem 3 Previous Problem Problem List Next Problem (1 point) Match the solutions to the differential equations. If there is more than one solution among the functions listed, select the answer that includes all of them. 1. y" = -25y 2. y" = 25y 3. y = -5y 4. y = 5y A. y = sin(5x) B. y = e-Sx or y = ex C. y = e-Sx D. y = ex E. y = 5 sin(x) F. y = sin(5x) or y = 5 sin(x) Homework 1-2: Problem 4 Previous Problem Problem List Next Proble (1 point) The general solution to the second-order differential equation 7y" = 2y is in the form y(x) = cje* + %3D + C2. Find the value of r. %3D Answer: r = Preview My Answers Submit Answers