SORU 13 The solution x''+x' +12x=0 with initial values x (1) = 1 and x' (1)...
find the solution of x''+x'+12x=0 x(1)=1 x'(1)=-1 is it real valued?
Consider the following. x 12x - 13y y' = 13x - 12y, X(0) - (12, 13) (a) Find the general solution (xce), y(t) =( Determine whether there are periodic solutions. (If there are periodic solutions, enter the period. If not, enter NONE.) NONE X (b) Find the solution satisfying the given initial condition. (x(C), y(0)) (c) with the aid of a calculator or a CAS graph the solution in part (b) and indicate the direction in which the curve it...
Solution steps plz
5. Use Duhamel's formula to express the solution of the {x"-7x'+12x = f(t) generic IVP in integral form. 1*(0) = x'(O)=0
Consider the initial value problem y" + 6y' + 34y = 0, y(0) = 1, y'(0) = 1 (a) Let y = e . The characteristic equation is 12+ 3 X+ Ž (b) The roots of the characteristic equation are = Separate values with a comma. Use capital I for ✓-1. (c) A general solution is y= You must use capitial A and capital B as your constants of integration. Use real-valued functions. (d) The solution of the initial value...
dy Find solution for initial valued problem:-3y + 2 3t ,y(0)--1 dt
dy Find solution for initial valued problem:-3y + 2 3t ,y(0)--1 dt
T (1 point) Find the solution to the linear system of differential equations 8.x - 2y 12x - 2y satisfying the initial conditions (0) = -5 and y(0) -13 z(t) = y(t) Note: You can earn partial credit on this problem. preview answers Entered Answer Preview
Math 216 Homework webHW9, Problem 8 Solve the initial value problem " 12x 36x -(t - 5) - 6), x(0) -1,x' (0) 1 (or2 0).
Soru 1 Solve the differential equation (3y +Sxy2) dx + (x + 4x2y) dy - 0 by finding an integrating factor depending on x А x2y + 3x3y2 = 0 B 3xy + 4x2y2 = 0 x3y + 2x3y2 - C x3y + 2xtc
2d
and 4b
[2 リ 5 0 -6 200 x(0)=10 x' e2 0 0 |-6-1 3 0 42 0-1-2 x, 43,1 0 0 (d) x' = ' x' (c) x'=12-1-2|x; 2. The matrices in the following systems have complex eigenvalues; use Theorem 2 to find the general (real-valued) solution; if initial conditions are given, find the particular solution satisfying them. 1-x, x(0)-1 (b) x, = (a) x' = X; 0 20 x(0)-|2 이 x, (d) x'=1-20 (c) x' =10-1-6|x; L0...
Question 13 (1 point) Given x + 4 a factor of f(x) = x3 - 12x +16, calculate the full factorization of f(x). OA) f(x) = (x + 22(x + 4) B) f(x) = (x-2)2(x + 4) OC) f(x) = (x + 4)(x + 2)(x - 2) OD) f(x) = (x - 22(x - 4) Question 14 (1 point) For the polynomial, one zero is given. Find all others. (Hint: You may need to use the quadratic formula.) P(x) =...