Find the general solution of the differential equations taking into account the initial conditions using the parameter variation method:
Find the general solution of the differential equations taking into account the initial conditions using the...
Find the general solution of the differential equations taking
into account the initial conditions using the parameter variation
method:
. y'"' + 4y' = t y(0) = y'(0) = 0 et y"(0) = 1 yiv + 2y" + y = 3t+4 ; y(0) = y(0) = 0 et y"(0) = y''(0) = 1 y" – 3y" + 2y' =t+e' ; y(0) = 1; y'(0) = -set y" (0) 3 2
USING THE PARAMETER VARIATION METHOD,
Find the general solution of the differential equations taking
into account the initial conditions.
Note: only determine all the matrices W in relation to the
particular answer Yp without calculating them
yiv + 2y" + y = 3t + 4 ; y(0) = y'(0) = 0 et y"(0) = y''(0) = 1
Find the general solution of the differential equations taking into
account the initial conditions using the parameter variation method
:
. y'"' + 4y' = t y(0) = y'(0) = 0 et y'(0) = 1 3 y'" – 3y" + 2y' = ttet ; y(0) = 1; y'(0) = Let y"(0) 2
Find the general solution of the differential equations taking
into account the initial conditions, using the parameter variation
method:
y'"' + 4y' = t y(0) = y'(0) = 0 et y"(0) = 1
Find the general solution to the following differentiel
equations USING VARIATION OF PARAMETER METHOD.
. y'"' + 4y' = t y(0) = y'(0) = 0 et y'(0) = 1 3 y'" – 3y" + 2y' = t +et ; y(0) = 1; y'(0) = -et y" (0) = 2 yiv + 2y" + y = 3t +4 ; y(0) = y'(0) = 0 et y'(0) = y''(0) = 1
1. Find the general solution to the next system of differential
equations.
2. Find the general solution of the following system of
differential equations by parametric conversion.
Y' = [2 =3] [2 – 4) (1-3 y+ 2t2 + 10+] t2 +9t +3 Sa = - 3x+y+3t ly' = 27 - 4y+et
Undetermined Coefficients: Find the general solution for the
differential equations.
Find the general solution for the following differential equations. (1) y' - y" – 4y' + 4y = 5 - e* + e-* (2) y" + 2y' + y = x²e- (3) y" - 4y' + 8y = x3; y(0) = 2, y'(0) = 4
Find a general solution to the differential equation using the method of variation of parameters. y' +9y = 4 sec 3t The general solution is y(t) =
4. (24 points) Find the general solution to each of the following differential equations dy a) = e-(x - 2). Over what interval is this solution valid? dx b) y" - 2y + y = (Hint use the method of variation of parameters) 1 + x2 c) y" - 8y' + 177 = 0. Is this solution (i)undamped, (ii) critically damped, (iii) under-damped, or (iv) over-damped?
(24 points) Find the general solution to each of the following differential equations dy a) = e)(x - 2). Over what interval is this solution valid? dx b) y" - 2y + y = (Hint use the method of variation of parameters) 1 + x2 c) y" - 8y' + 17y = 0. Is this solution (i) undamped, (ii) critically damped, (iii) under-damped, or (iv) over-damped?