the question asks to determine the general solution
the question asks to determine the general solution | (c) uti - cute = 0, a...
Determine the general solution to the following system of first
order DEs:
[Part 1 of 3] Determine the general solution to the following system of first order DEs Denote the unknown coefficients as c1 and c2 by typing c1 and c2 respectively x(t) = L [Part 2 of 3] Determine the solution to the following IVP x(0) = 1-2 XE x(t)
[Part 1 of 3] Determine the general solution to the following system of first order DEs Denote the unknown...
any help on these two questions please??
4.4: Let 1 0 1 and b(t)- -1 1 0 (a) Find the general real solution of the linear ODE (t) A(t). (b) Find the general real solution of the linear ODE x(t)-Ax(t) + b(t). (c) Solve the initial value problem x(t) = A2(t) + b(t), x(0) = (-2,0,2)T 4.5: Determine the general solution of the ODE x"(t)-x"(t)-r(t) + x(t) = t cost.
4.4: Let 1 0 1 and b(t)- -1 1 0...
1.Find a general solution to the given differential equation. 21y'' + 8y' - 5y = 0 A general solution is y(t) = _______ .2.Solve the given initial value problem. y'' + 3y' = 0; y(0) = 12, y'(0)= - 27 The solution is y(t) = _______ 3.Find three linearly independent solutions of the given third-order differential equation and write a general solution as an arbitrary linear combination of them z"'+z"-21z'-45z = 0 A general solution is z(t) = _______
Find the general solution of the given differential equation, and use it to determine how solutions behave as t → 0. y + 7y = t+e-5t QC. 0 Solutions converge to the function y =
please I need solution as soon as possible
Q2 Given the following heat conduction initial-boundary value problem of a thin homogeneous rod, where u(x, t) represents the temperature. 9uxx = uti 0<x< 6; t>0; B.C.: uz (0.t) = 0; ux(6,t) = 0; t> 0; 1. C. :U(x,0) = 12 + 5cos (6x) – 4cos(2x); 0<x<6 (a) When t = 0, what would be the temperature at x = 3? (Use the initial condition.) (3 marks) (6) Determine whether the boundary...
Question 3 Find the general solution of "" - 6y" + 117' - 6-0 given that r1 = 2 is a root of the characteristic equation a)y=C22*+&+603 b) y=,22+*+ Cre" c)y=C22*+&+C22 d) -Ce2+Ce*+6633 e)y=e 28+ Ce*+C, f) None of the above. Question 4 Find the general solution of "" – 3y" - Dy' + 27y=0 given that rı = -3 is a root of the characteristic equation. a) y=C2*+Cxé* +22 b) y=Ge4+Ce**,62* c) y= 3 + x +c, d) y=C+*+Cre*+,231...
2017, Q3.
QUESTION 3 Determine whether the differential equation homogeneous and find its general solution. (150 marks total) y" +3 +2У = 5 sinx is homogeneous or non-
QUESTION 3 Determine whether the differential equation homogeneous and find its general solution. (150 marks total) y" +3 +2У = 5 sinx is homogeneous or non-
Given initial conditions x1(0) = 1 and x2(0) = 0, determine
solution components x1(t) and x2(t).
7. Consider the following differential equation system for 11(t), 12(t), where x = (*1). x = (1 %)* (a) (7 points) Find the general solution.
Question 2 (15 points) Solve the differential equation for the general solution y 6y' 73y 0 y(t) C cos(3t) C2 sin(3t) y(t) = C1 cos(8t) + C2 sin(8t) y(t) cos(8t) +C2e" sin(St) y(t) Ce cos(8t) Cest sin (8t) y (t) = Cleft cos (8t) + C2eft sin (8t) (t)Cest cos(9)Cesin (9t) Previous Page Next Page Page 2 of9
Find a general solution to the given Cauchy-Euler equation for t> 0 fy"(t) - 9ty' (t) + 25y(t) = 0 The general solution is yt) = D.