Find a general solution of x"(t) + x² - 6x = 0. Find a particular solution satisfying x(0) = 1, x'(0) = 0. Find a general form of solutions which remain bounded as t → ∞⁰. general solution solution to the ivp solutions bounded as t → ∞

Use undetermined coefficients to find the particular solution toy''+5y'+4y=3e3ty′′+5y′+4y=3e3tY(t)Y(t) = c1​e−4t+c2​e−t+328​e3tIncorrect  syntax error. Check your variables - you might be using an incorrect one.

use method of refuction of order to find a second solution y2(x). Given that y1(x)=ex is a solution. (x(4)-4x)y'' + (4-x(4))y' + (4x-4)y =0

Find the solution of the equation 12 au Ou +3- ax = 4x with u(x, 0)=6e3