Question 1 5 pts Determine the Laplace transform of the given function f(t) = teu cos...
The general solution to 4 -1 -8 x can be given by OA Ge-6t OH Cle-6t + Cze e-6t OL Cie-6t e-6 ( 21 ) +cze-x [y ( )+(?)] (?) • [:( 21 ) + ( ) (-1) [-(-) ()] ( 21 ) +ce-[:( - ) +(:)] (2) [:(-1) )+(?)] + Cze + cie-6t Ge-6t + cze e-6
II. Determine the general solution of the given 2nd order linear homogeneous equation. 1. y" - 2y' + 3y = 0 (ans. y = ci e' cos V2 x + C2 e* sin V2 x) 2. y" + y' - 2y = 0 (ans. y = C1 ex + C2 e -2x) 3. y" + 6y' + 9y = 0 (ans. y = C1 e 3x + c2x e-3x) 4. Y" + 4y = 0, y(t) = 0, y'(T) =...
1. Find the Laplace transform of the function f(t) = 1 + 2t + 3e-3t - 5 sin(4t). Solution: 2. Find the inverse Laplace transform of F(s) = 7+ (8 + 4)(18 - 3s) (s - 3)(s – 1)(s + 4)" Solution:
need help solving and checking answers Evaluate each function for the given value of x, and write the input and output as an ordered pair. Need help? Check out these resources: http://virtualnerd.com/algebra 1/linear-equation-analysis/point- slope-standard-form/standard-form-examples/write-linear- equation standard-form-slope-point 27. f(x) = 3x - 7 for x = 6 28.g(x) = 9x - 5 for x = 3 29.h(x) = 12x for x = 4 30.t(x) = 8x - 5 for x = 7 Linear Functions and Slope Intercept Form You can use...
chapter 2 handout 14. help in diffeq question 1 or 2 please Homework Problems for Handout Sheet 14 In Problems 1 to 10, find the general solution of the given DE by using the Method of Undetermined Coefficients 1. y-3y e-6xe3 dy --y = 2xe* -4xe 2. dx 3. y"+2y' 6+12x2 +e* d'y dy 6xe' -4x 4. dx2 dx 5. y"y'-6y 7-6x-18e3 +10e2x dy dy -4+3y 9x -4e xe2x. dx 6 dx2 7. y3 -2y"y' = 6x-2+8e* +6e2 d'y dy6x-8...
Please show work Question 14 5 pts Use the Laplace transform to solve the given initial-value problem. y" + 4y=f(t – 2), y(0) = 1, y (0) = 0 Oy(t) = cos(2t) + U (t – 2) · sin[2(t – 2)] Oy(t) = {U (t – 2) sin(2t) Oy(t) = {U (t – 2) sin(2(t – 2)] Oy(t) = cos(2t) + U (t – 2) sin(2t)
Question 1 1 pts Let F= (2,0, y) and let S be the oriented surface parameterized by G(u, v) = (u? – v, u, v2) for 0 <u < 12, -1 <u< 4. Calculate | [F. ds. (enter an integer) Question 2 1 pts Calculate (F.ds for the oriented surface F=(y,z,«), plane 6x – 7y+z=1,0 < x <1,0 Sysi, with an upward pointing normal. (enter an integer) Question 3 1 pts Calc F. ds for the oriented surface F =...
Question 1 3 pts The solution of the Initial-Value Problem (IVP) S (x + y)dx – «dy = 0 is given by 1 y(1) = 0 Oy=det-1 - 1 Oy= < ln(x + y) Oy= (x + y) In x Oy= < In x None of them Question 2 3 pts The general solution of the first order non-homogeneous linear differential equation with variable coefficients dy (x + 1) + xy = e-">-1 equals dx 2 Oy=e* (C(x - 1)...
(1 point) Find the inverse Laplace transform f(t) = C-' {F(s)} of the function F(s) = 2s - 3 32 + 16 560) = c { 2s - 3 32 + 16 = 2cos(4t)-2 sin(4) help (formulas)
Question 7 5 pts each Write iterated integrals for each of the given calu lations. Do not evaluate. (A) The integral of f(x, )212y over the domain D: 2 y 20. (B) The integral of f(x, y, z) = 12x + 3 over the volume contained in the first octant and below the graph z 8-y 2 (C) The mass of an object occupying the region bounded between the sur faces x2 + y2 + Z2 = 16 and z...