Solve the initial value problems and classify the equilibrium point initial condition O) 2 y(0) 1...
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
(1 point) Solve the following initial value problem: dy + 0.6ty = 3t dt with y(0) = 5. y = (1 point) Solve the following initial value problem: dy dt + 2y = 3t with y(1) = 7. y
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...
5. Solve the following initial value problems: (a) y' – 3t2y4 = 0, y(2) = -1 (b) y' + te2y = c29 tant, y(0) = 0) (c) et*y + (t + ty?) = 0), y(0) = 1
d2y dy +10 dt +25y 0, y(1) 0, y'(1) 1 (1 point) Solve the initial-value problem dt2 Answer: y(t)
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
(1 point) Solve the separable differential equation dy da: 2 Subject to the initial condition: y(0) 8.
(1 point) Solve the following initial value problem: dt with y(0) 4 y4.56e/eA.45t 2+5.56
(1 point) Solve the following ODE subject to the initial condition y(0) = 3: V = 1² - 6² x² – 6² Also, calculate y(1/2). y = y(1/2) =
Please solve this in Matlab Consider the initial value problem dx -2x+y dt x(0) m, y(0) = = n. dy = -y dt 1. Draw a direction field for the system. 2. Determine the type of the equilibrium point at the origin 3. Use dsolve to solve the IVP in terms of mand n 4. Find all straight-line solutions 5. Plot the straight-line solutions together with the solutions with initial conditions (m, n) = (2, 1), (1,-2), 2,2), (-2,0)