Find the general solution of the DE: y’’(x) + 6y’(x) + 8y(x) = 3e^(-2x) + 2x
Find the general solution of y'' + y'-6y=(9x-2)e^(2x). (Use the method of undetermined coefficients) Please show all work and steps! 2. Find a general solution of y" + y' - 6y = (9.C -- 2)e2.. (22 p'ts, use the method of undeter- mined coefficients.)
A) Find the solution of the given 2nd order Homogenous ODE using undetermined coefficient 1) y"-10y, + 25y-30x + 3 4 3) y"- 16y - 2e4x 4) y" + 2y'ysin x + 3 cos 2x B) Find the solution of the given 2nd order Homogenous ODE using variation parameter 1) y" + y sec θ tan θ 1+e 3) 3y''-6y' + 6y = ex secx x+1 A) Find the solution of the given 2nd order Homogenous ODE using undetermined coefficient...
1. Given that y, - e is a solution of (2x-x') y" +(x-2) y'+2(1-x) y. a. Find the general solution on the interval (2, o). y(3)-1 b. Find a solution of the DE satisfying ¡y(3):0 1. Given that y, - e is a solution of (2x-x') y" +(x-2) y'+2(1-x) y. a. Find the general solution on the interval (2, o). y(3)-1 b. Find a solution of the DE satisfying ¡y(3):0
Find the general solution of the given differential equation. y" - 6y' + 6y = Here y(t) =
Question 3 Find the general solution of "" - 6y" + 117' - 6-0 given that r1 = 2 is a root of the characteristic equation a)y=C22*+&+603 b) y=,22+*+ Cre" c)y=C22*+&+C22 d) -Ce2+Ce*+6633 e)y=e 28+ Ce*+C, f) None of the above. Question 4 Find the general solution of "" – 3y" - Dy' + 27y=0 given that rı = -3 is a root of the characteristic equation. a) y=C2*+Cxé* +22 b) y=Ge4+Ce**,62* c) y= 3 + x +c, d) y=C+*+Cre*+,231...
1. Find the general solution for each of the following differential equations (10 points each): y" - 2y - 3y = 32 y" - y' - 2y = -2 + 4.2 y" + y' - 6y = 12e3+ + 12e-2x y" - 2y - 3y = 3.re* y" + 2y + y = 2e-* (Hint: you'll use Rule 7. at least once)
Find a general solution to the differential equation. y'' – 6y' +9y=t-5e3t The general solution is y(t) =
Find a general solution to the differential equation. y'' - 6y' +9y=t-7e3t The general solution is y(t)=.
Differential Equation Roots rı, 12 General Solution y" - 6y' + 3y = 0 y" + 2y + 5y = 0 Y" +22y + 121y = 0