(1 point) Match each differential equation to a function which is a solution. FUNCTIONS A. y...
WHICH equation describes the relationship between X and Y as in the table below x y 3 5 4 9 5 13 6 17a. y=4x-7,b.y=x+12,c.y=2x-5,d.y=3x-5can you give me the answer and explane it for me please!!!!!!!!!!!!
a,b, and c 1. Determine if the following function is a solution of a differential equation. a) y = 4e2' + Be for 6y"- 7y3y = 0 (3pts) b) y = Ae* + Be*** + 2 sin (3x) for y"+y'-6y=6cos(3x) – 30sin (3x) (3pts) c) y = Ae?" + Bx? for y"- 3y + 2y = 0 (3pts)
Select all the answers that are solutions of the differential equation y" - 6y' +9y = 0 sin(x)e! cos(x)e xet sin(2x)e cos(2x)e sin(3x)et COS(3x)e G. I - xe-* Y 000 OOOOOOOOOOOOOOOOOOOO sin(x)e-* cos(x)e-* sin(2x)e-* cos(2x)e** sin(3x)e* cos(3x)e-* N. 0. P. Q. cos(3x) DR. xe s. sin(x)e3* T cos(x)ex OU. sin(2x) V. cos(2x)e3- w. sin(3x)e> LX cos(3x)e 3
3. Determine the general solution of each differential equation. (a) y" – 10y' + 25y = 0) (b) 2y" – 4y' +9 = 0) (C) x2y" + 3xy' + 4y = 0)
Please show solutions. Answer: 1. Find a general solution to the following differential equations: (a) y" + y = 0 (b) y" – 2y' + 264 = 0 (c) 4x²y" – 3y = 0 (d) y" + 4y = 9 sin(t). (e) y" – 6y' + 9y = 6e3x 1. (a) y = ci + c2e- (b) y = cle' cos(5t) + czet sin(5t) (c) y = cit-1/2 + c2t3/2 (d) y = ci cos(2t) + c2 sin(2t) + 3...
y = 3x0+ QUESTION 2 Solve the given differential equation. (The form of yp is given D2y + 25y = -5 sin 5x (Let y p = Ax sin 5x + Bx cos 5x.) sin 5x + c2 cos 5x + x sin 5x - 1 x cos 5x Oo oo cos 5x + = x cos 5x y = C1 sin 5x + C2 cos 5x + 5x sin 5x y = C1 sin 5x + C2 cos 5x...
Find the general solution of the given second-order differential equation. y'' + 10y' + 25y = 0 Solve the given differential equation by undetermined coefficients. y'' + 4y = 2 sin 2x Solve the given differential equation by undetermined coefficients. y'' − y' = −10
Which of the below functions is a solution to the following partial differential equation? a2f ay2 - Hint: For each function below, calculate both sides of the above equation, subtract, and then simplify. Note: It is possible that more than one of the below functions will satisfy the above equation. If that is the case, then selecting any one of the functions that work will give you full marks. (F) X«-» (A) 2-256x sin 8y (B) 2 Ince' + %)...
A particular solution of the differential equation y!! -y =Bxe* + Zeis Select the correct answer wy-(x2-3x) -(2x² + x)e* -(2x²x)ex
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) =...