Solve y"? + 169 = 0, y(5) = 3, y' ( 1 ) = 8 g(t) = Preview
Solve: y' – 4y' + 3y = 9t – 3 y(0) = 3, y'(0) = 13 y(t) = Preview
X 1 2 3 3 708 4 707 687 654 5 720 y 6 690 Use exponential regression to find an exponential function that best fits this data. f(x)= Preview Use linear regression to find an linear function that best fits this data. g(x) = Preview Of these two, which equation best fits the data? Exponential Linear
Given the differential equation y'' – 9y = - ett + 3e8t, y(0) = 0, y'(0) = 4 Apply the Laplace Transform and solve for Y(8) = L{y} Y(s) = Preview Now solve the IVP by using the inverse Laplace Transform y(t) = L '{Y(8)} g(t) = Preview
Solve the differential equation below using series methods. (4x2 + 3)y” – 6xy = 0, y(0) = 3, y'(0) 4 Find the first few terms of the solution 00 y(x) = anak k=0 ao Preview a1 Preview a2 Preview a3 = Preview 04 II Preview 05 Preview
Solve the differential equation below using series methods: y’’ - e* y = 0, y(0) = 4, y'(0) = 3 The first few terms of the series solution are y = co + Cix + c2x2 + C30° + C4x4 + 25x® where: Preview Preview Preview IL L LL LL Preview Preview Preview
Solve the differential equation below using series methods. y” – 2xy' – y = 0, y(0) = 3, y'(0) = - – 8 Find the first few terms of the solution y(x) = 2 azxk k=0 ao Preview ai Preview a2 Preview a3 Preview 24 Preview 25 Preview Points possible: 1 License
Apply the Laplace transform to the differential equation, and solve for Y(s) y'25y 2(t 4)u4(t) 2t 8)us(t), y(0) = y'(0) = 0 Y(s) = Preview syntax error Apply the Laplace transform to the differential equation, and solve for Y(s) y'25y 2(t 4)u4(t) 2t 8)us(t), y(0) = y'(0) = 0 Y(s) = Preview syntax error
Solve the differential equation below using series methods. y' + 3xy' + 8y = 0, y(0) -1, y'(0) = – 5 Find the first few terms of the solution y(x) = axxk. k=0 ao = Preview ai Preview A2 = Preview = a3 = Preview 24 = Preview 05 = Preview
Solve y"' +94 = 0, v(65) = - 1, x' (65) = 9 g(t) = Preview The behavior of the solutions are: Steady oscillation Oscillating with increasing amplitude Oscillating with decreasing amplitude