LHS. RHS. Derivatives by hand and by TI with input/output. b. Also sketch on an appropriate WINDOW on graph paper, with

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LHS. RHS. Derivatives by hand and by TI with input/output. b.
Also sketch on an appropriate WINDOW on graph paper, with
input/output, the family of solutions with C =
1, 0, -1. c. Find the C that
makes y(0) = 0. d. DeSolve check general and
particular solution with input/output.
In each problem below, a differential equation, a general
solution to the differential equation and one or more initial
conditions are given. First show that the given function is in fact
a solution, then use the initial condition(s) to determine the
(integration) constants.

Lhs Rhs Derivatives By Hand And By Ti With Input Output B Also Sketch On An Appropriate Window On Graph Paper With 1 (47.8 KiB) Viewed 50 times

1.1.22 Equation is x" + 4x' + 4x = 0, general solution is x(t) = Cje-2t + Cate-2t, initial conditions are x(0) = 1, x'(0) = 0. 1.1.23 System is X'. = y y' = 4x , general solution is x (t) = {Cie2t - {Cze=2t, y(t) = Cųe2t + C2e-2t, initial conditions are x(0) = 1, y(0) = -1.