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4. Solve the initial value problem as a Bernoulli equation ay = (43 – 1)y, y(1) = 2
The only solution of the initial value problem ay' + by' + 2y = 4, y(0) = 2, y'(0) = 0 where a,and b are positive constants is y(x) = 2. True False
solve in matlab please Draw the phase line for ay-ay(y2-1)(2+y), α > 0 and then using Matlab Problem 1 : graph the solution for different initial conditions. Once you complete that, double the value of α and see what happens. Draw the phase line for ay-ay(y2-1)(2+y), α > 0 and then using Matlab Problem 1 : graph the solution for different initial conditions. Once you complete that, double the value of α and see what happens.
Solve the initial value problem a ay – 2y = 2x4, der y(1)=3.
4. Solve the initial-value problem y" – 6y' +9y = 0, y(0) = 0, y'(0) = 1
4. Solve the initial value problem: y' +9y' + 20y = 0, y(0) = 1, and y'(0) = 0
4) Solve the initial value problem by Laplace Transform (10 marks) y" - 2y' +y = te' y(0) = 1 %3D y'(0) = 1 %3D
Solve the initial value problem y" – 4y' + 4y = 0, y(0) = -3, y'(0) = -17/4
4. Solve the initial value problem y" - y = 0, y(0)=3, y'(0)=5 (a) y = 4e - (b) y = 5e-2 (c) y = 60"-3e (d) y = 7e-4e (e) y = 2e +e (f) y=e' +2e (g) y = 3e* (h) y=-e +4e- 5. Solve the initial value problem y" + 2y + y = 0, y(0-1, y (1)=0 (a) y=e"* + 4xe (b) y= e' +3xe" (c) y= + 2xe * (d) y= e^ + xe" (e)...
(1 point) Consider the initial value problem y" + 4y = 81, (0) = 2, 7(0) = 8 a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). help (formulas) b. Solve your equation for Y(). Y(s) 1900) c. Take the inverse...