4r - 4s + 4t = -4 4r+s - 2t = 5 -3r – 3s – 41 =-16 Q11:

Q: (D4 + 3D3 – 6D² – 28D – 24)y = 0 (D3 + 3D2 + 3D + 2)y = 0 -

A: 2) (D3+3D2+3D+2)y=0 The auxiliary equation is…

Q: Q6. Find the general solution using variation of parameters of y"+ 4y 8tant %3D | 2

A: To solve the differential equation:

Q: Q2) find the solution of: A) yk+3 +4yk+2 - 5yk+1=0 ,yo=4 , y1=-7,y;=23

A: Solution

Q: 7. (D² - 2D + 2)y = 0 8. (D² + 9)y = 5e* - 162x 9. (D² + 9)y = 5e% - 162x?

A:

Q: Given that y = 6t^3 + 5 and x = t2 – 7. Find y’ when x=7. Express your answer in whole number.

A:

Q: Find the general solution (D^3 + 7D^2 + 19D + 13)y = 0 when x = 0, y = 0, y' = 2, y'' = -1

A: Find the general solution (D^3 + 7D^2 + 19D + 13)y = 0 when x = 0, y = 0, y' = 2, y'' = -1

Q: f(t) = 2t² + 4t – 3 4+2s-3s? А. c 4+4s-3s? С. s3 2+2s-3s2 В. 2+4s-3s2 D. s3

A:

Q: -6t 3t2 7 Find i (t), given 7(t): %3D - 6t2 3' 3t3 2 3t F(t)

A: Given

Q: 3t y" - y' - 6y = t²e³t - 4t², y(0) = 0, y' (0) = -1

A:

Q: y =  t2 + 2 t4 − 4t2 + 5 find y'

A: y= t^2+2t^4-4t^2+5  y = 2t^4-3t^2+5

Q: Q2) find the solution of: A) yk+3 +4yk+2 – 5yk+1=0 ,yo=4, y1=-7,y=23

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: C-1 s2 + 4s + 5,

A:

Q: Find the Solution (1+r2) ds + 2t[st²- 3(1+12) 2jdt = 0; when t = 0, s = 2. %3D

A: The differential equation of the form, dydx+py=Q is named as linear differential equation. The…

Q: Find the solution set of 2x + 6y – 4z = 12. a. (6, 0, 0) b. (8, 0, 1) c. (12 – 6s + 2t, s, t) d. (6…

A: The given equation is 2x+6y-4z=12 Since, there is only one equation and three variables then we will…

Q: ds dS S 2. Find the solution 2 -= 5t³S³ dt t

A: Let's find.

Q: x + y - z = 9. 8y + 6z = -6 -9- -2r + 4y – 6z = 40

A:

Q: (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0

A:

Q: 4. y = (4t2 - t)(t³ – 8t² + 12) 5. h(z) = (1+ 2z + 3z?)(5z + 8z² – z³) %3D - %3D

A: To differentiate the following functions.4 y=4t2-tt3-8t2+125 hz=1+2z+3z25z+8z2-z3

Q: 3rps + 2p3-4 2rp- Sps -6rp (10r ps -6p t

A: The problem is related to basic Algebraic simplication

Q: t2-2t +1 if Jet) = if -1t20 t²+ 2t +1

A:

Q: x- y- 2z =-6 3x + 2y = -25 -4x + y - z = 12 Q12:

A: We have to solve the given equation.

Q: 2r2-12r+18=o 2x+12x+21=O 2. yL+2x-Y=D

A:

Q: 2r² + 3sr - 2r t6s)s t s(st 2r -1) dr = 0 %3D

A:

Q: 3. Find mZS. ,(5x + 2)° P ((10x – 3)° (7x – 11)>R (13r -31) (&x – 19) . S T

A: The sum of all angles of pentagon is 540°.

Q: v(t) = t² – 3Vt, s(4) = 9 %3D s(t) = 2t 11 %3D - 3

A: Given query is to find position function.

Q: Q1: using variation of parameters to solve: * y"' – 2y" – 21y' – 18y = 3 + 4e-t %3D

A:

Q: 2. y³ = 2a°x³ , find y". 3. 4x° = 3y*-x³y? , find y" %3D

A: Note: Since you have posted multiple questions, we will solve the first question for you. if you…

Q: P: 2x -y+ 3z – 6 = 0 P2 : 4x – 2y + 6z - 2 = 0 8. V14

A: Apply distance formula

Q: Find the solution. dy 3+9y =2ty53 (A) y- 3er - 3 (B © y - 34-3e2

A: To solve the given differential equation first we will arrange the differential equation in the form…

Q: 3 4. If y = t3 + 3t? and x = t - 8t2, show that y" = 16t(t+2)(t-2)3

A:

Q: Find the particular solution y''-2y'-3y=0; when x=0, y=0, y'=-4

A: It is given that the differential equation  y''-2y'-3y=0,  y0=0 and y'(0)=-4     The given…

Q: Find the particular solution Use method of undetermined coefficients. 1. y + 9y = 81x² + 14cos4x;…

A: As per the instruction, we will be answering only the first one. For (1), The characteristic…

Q: (d) 6z – 9 – z² < 0 (e) 3t? + 21t + 30 2 5t² – 20

A: In this problem we need solve the given inequalities. That is, we need to find the range of values…

Q: e general solution of y6) + 4y(4) + 3y" = 0 ?

A:

Q: Find the solution of: 1. 2xyy' = 1+y² when x = 2, y = 3

A: Since you have posted multiple questions we solve first question for you To get the solution of…

Q: Q6. Find general solution of the DE 4x²y" + 8ry' + y = 0

A: We need to find the general solution of the given differential equation. The general solution of the…

Q: Find the solution of: 1. 2xyy' = 1+ y² when x = 2, y = 3

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Method of Undetermined Coefficient 1. (D² + 6D + 9)y = 7xe-3x 2. (D° – 2D? – D + 2)y = 10sin2x –…

A: To solve the linear differential equation, find the complementary solution and the particular…

Q: -3 - 4sec 03 V2 -3- 3sec 0 %3D 7n 5T A){ 6. 5π7π B) {- 6 6 4 T 7n 3π 5π C) {- 4 4 D) {- 4 4

A: Given that,   -3 -4sec θ = 2 - 3 -3sec θ -3 -4sec θ=2 - 3 -3sec θ-4sec θ=2  - 3sec θ-4sec θ + 3sec…

Q: Find the solution set of x- 4y + 3z = 1. а. (1, 0, 0) b. (-2, 0, 1) c. (1 – 4s + 3t, s, t) d (1 +…

A:

Q: t² + 4t +4 3t +6 t-2 t² – 5t +6

A:

Q: f(t) = 2t2 + 4t – 3 4+2s-3s? А. 4+4s-3s? С. s3 s3 2+2s-3s2 В. 2+4s-3s2 D. s3 s3

A:

Q: Q2/A/ Find " X" from equation r2 = 8(2tan20 + 1) %3D

A: Please rate and feel free to ask any query about any part of the question.

Q: (d) 6z – 9 – z² < 0 (e) 3t2 + 21t + 30 2 5t² – 20

A:

Q: Q.2 Determine particular solution for y" – 4y' – 12y = 3e5t. |

A:

Q: -3r2-4t+2=0 Slove for R

A: Given, -3r2-4t+2=0

Q: y" + 10y + 25y: 18e-5t t2 + 1 Yp =

A: Given : y" + 10y' + 25y = 18e-5t/(t²+1)

Q: 2r + y – 2z = 12 47. {-x – y + z = -6 3x + y – 3z = 18 %3D

A: Problem 47: Dependent equation is said to be dependent when the system of consistent has many number…

Q: (d) 6z – 9 – z² 5t² – 20

A: d) 6z - 9 - z2 &lt;0 e) 3t2 + 21t + 30 &gt;= 5t2 - 20