5. Solve the following initial value problems: (a) y' – 3t2y4 = 0, y(2) = -1...
Peoblem 3: Solve the following problems Problem 3. Solve the following problems: (a) y+ ty -y-0, y(0)-0, (0) 1. (b) ty"+(1 -2t)-2y0, y(0) 1, y'(0) -2 (c) ty" + (t-1)/-y 0, y(0) 5, lime y(t) 0. t-+00 Problem 3. Solve the following problems: (a) y+ ty -y-0, y(0)-0, (0) 1. (b) ty"+(1 -2t)-2y0, y(0) 1, y'(0) -2 (c) ty" + (t-1)/-y 0, y(0) 5, lime y(t) 0. t-+00
please solve B Question 5: Solve the following initial value problems using Laplace transform BI+2(-1)y+(-2)y-o y(O)-y(0-1 (0)-0, y00 Question 5: Solve the following initial value problems using Laplace transform BI+2(-1)y+(-2)y-o y(O)-y(0-1 (0)-0, y00
Solve initial value problem using Laplace transform Problem 4 Solve the initial value problems given below --ез, y(0) 2. a. b. f ty 3 cos t, y(0)-
(1 point) Solve the initial value problem ty" - ty' y = 5, y(0) = 5, y'(0) = -1 y =
B1: (24 marks) Solve the following initial value problems. When it is possible, express the solutions explicitly in terms of the independent variable. a) (t? + 1) 44 +3ty = 6t, y(0) = -1 b) * = y(1 – y), y(0) = 1/2 c) dy + +y = ty?, y(1) = 1 - 4y = 3e2t, y(0) = -2, y'(0) = 0
solve the initial value problems: a) y'' + 14y + 49 = 0, y(0) = -1, y'(0) = 0 b) y'' + y - 2 = 2sin(x), y(0) = 1, y'(0) = 2 c) y'' - 10y' + 25y = e^(5x), y(0) = 1, y'(0) = 6
Problem 1: Solve the initial value problems: a 2y" – 3y' +y=0 y(0) = 2, 7(0) = 1 by' + y - 6y = 0 y(0) = -1, y'(0) = 2 cy' + 4y + 3y = 0 y(0) = 1, y'(0) = 0 Problem 2: Solve the initial value problems: a y' +9y = 0 y(0) = 1. 1'(0) = -1 by" - 4y + 13y = 0 y(0) = 1, y'(0) = 3 cy" + ly + ly...
2. Solve the following initial value problems using the fact that the differential equations below are separable: a. tºy' = (t + 1)y, y(1) = 2, t > 0 b. y' = –2t tan(y), y(0) = 5
Solve the initial value problems and classify the equilibrium point initial condition O) 2 y(0) 1 dt 1) with the initial condition dt
5.Solve the initial value problem y" +5y' +6y-g(t), y(0) 0,(0) 2, where (t)-t 1<t<5,. 1, 5 < t. Then sketch the graph of the solution. (Use technologies. Be sure the graph is neat.) Sec. 7.6.39]