find the (real) general solution for x’’+2x’+4x=0 where x is a function of t.
QUESTION 11 Find the solution of x' + 2x' +x=f(t), x(0)=1, x'(o=0, where f(t) = 1 if t< 2; and f(t) = 0 if t> 2.
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...
Find the general solution of the given system. = 4x – 13y = 9x + 18y + 8z on = 9y + 4z (x(t), y(t), z(t)) = Need Help? Read It Watch It Talk to a Tutor Submit Answer Practice Another Version 5. + -11 points ZillDiffEQModAp11 8.2.038. Find the general solution of the given system. on = 7x + 13y ay = -2x + 9y (*(t), y(t)) =
Find the general solution of the Euler eq. 4x^2y'' + 17y=0, x>0 We are supposed to find the solution using series, I am stuck, please help
Find the general solution x(t) of: x'' + 4x = 3 cos(2t) + 4 cos(3t) using the method of undetermined coefficients.
Find the general solution of the dierential equation where y =
x^2 is a particular solution
2. Find the general solution of the differential equation where y = x2 is a particular solution (1 – xº)y' – 2x + x²y + y2 = 0
x(0)=1, x'O)= 0, where f(t) = 1 if t< 2; and f(t) = 0 if Find the solution of X"' + 2x' + x=f(t), t> 2.
y''-3y'-4y=0 has a general solution y=C1e^(4x)+C2e^(-x) find the particular solution if it exists for y(0)=0 & y(1)=2
for
the function f(x) = x^4 - 2x^3 - 4x^2 + 4x - 1find f'(x), f''(x), f'''(x), f(4)(x)
Use the variation of parameters formula to find a general solution of the system x'(0) AX(t) + f(t), where A and f(t) are given -4 2 А. FU) 21 12 +21 Let x(t) = xy()+ X(t), where x, (t) is the general solution corresponding to the homogeneous system, and X(t) is a particular solution to the nonhomogeneous system. Find X. (t) and X.(1).