determine the values of α such that all the solutions to the following eq. equal zero as t goes to infinity
y''-(2α-1)y'+(α^2-α+1)y=0
determine the values of α such that all the solutions to the following eq. equal zero...
Determine the values of a, if any, for which all solutions tend to zero as t > oo. Also determine the values of a, if any, for which all (nonzero) solutions become unbounded as t -> oo: y" (2a 1) a(a - 1)y 0
Determine the values of a, if any, for which all solutions of the differential equation y'' – (2a – 9)y' + (a? – 9a + 14)y = 0 tend to zero as t → 00; also determine the values of a, if any, for which all (nonzero) solutions become unbounded as t → . Solutions tend to zero as t + op as long as a (Click for List) A QE Solutions become unbounded as t → as long as...
problem 3 tk PROBLEM 3 Show that all solutions of the system: b X for any t > 0 X'(t) C (ox1- Introduction to Differential Equations approach zero as t goes to infinity if and only if a +d < 0 and ad - be> 0. PROBLEM 3 Show that all solutions of the system: b X for any t > 0 X'(t) C (ox1- Introduction to Differential Equations approach zero as t goes to infinity if and only if...
i) Find all values of a for which all solutions of the differential equation y/ar 2)y = 0, x0 approach zero as x -+ 0. i) Find all values of a for which all solutions of the differential equation y/ar 2)y = 0, x0 approach zero as x -+ 0.
give a clear amswer with all areps. i have trouble understanding limits so explain clearly for positive rating In each of Problems 17 and 18, determine the values of a, if any, for which all solutions tend to zero as t -> oo; also determine the values of a, if any, for which all (nonzero) solutions become unbounded as t oo y" (2a - 1) y a(a - 1) y = 0 17. In each of Problems 17 and 18,...
1.Given a discrete-time signal defined as and the values at other instants equal zero. a) y(n)-x(2-n (b) y(n) x(3n-4) (c) y(n)-x(n) Sketch each of the following: 1.Given a discrete-time signal defined as and the values at other instants equal zero. a) y(n)-x(2-n (b) y(n) x(3n-4) (c) y(n)-x(n) Sketch each of the following:
PLEASE ANSWER 2C .PLEASE SHOW ALL STEPS AND WRITE NEATLY Question 2 Determine the unique solutions of the following differential equations by using the Laplace transforms: a. y" – 4y = 4 t, subject to y(0) = 0 and y'(0) = -1. (7) b. y" – 4y' - 5y = 28(t - 2), subject to y(0)=-1 and y'(0) = 0. (8) C. y" + 2y' – 3y = e-3(1-2)u(t – 2), subject to y(0) = 1 and y'(0) = 1....
Determine the values of r for which the differential equation t2y′′−6ty′+6y=0 has solutions of the form y=tr for t > 0
(50 points) The input X(t) in the circuit shown in the following figure is a stochastic process with EIX(t)]-0 and Rx(t)-626(t);i.e., X(t) İs a whte noise process. 2. C Y(t) X(t) a) Determine the power spectral density of Y(t). b) Determine E[Y ()] and Ry(T). 2α all (50 points) The input X(t) in the circuit shown in the following figure is a stochastic process with EIX(t)]-0 and Rx(t)-626(t);i.e., X(t) İs a whte noise process. 2. C Y(t) X(t) a) Determine...
The general solution to the second-order differential equation d2ydt2−4dydt+7y=0d2ydt2−4dydt+7y=0 is in the form y(x)=eαx(c1cosβx+c2sinβx).y(x)=eαx(c1cosβx+c2sinβx). Find the values of αα and β,β, where β>0.β>0.Answer: α=α= and β=β=