30. Find the standard form of the equation. 64x² +896x+4y² - 8y +2884 = 0 (x-1)° , (v+ 7)* = 1 4 64 (x+ 7)° . (v-1)* . [B] 64 4 (x-1)° , (v+ 7)* – 1 [C] 64 (x+7)° ¸ (v–1)* - 1 [D] 4 64

Q: Show that the equations x+ y +z = 4, 2x + 5y - 2z = 3, x + 7y - 7z = 5 are not consistent.

A:

Q: Which of the following is a particular solution of the equation y"+y'+7y=4cos2x? O a.…

A:

Q: 3) --9+7z use x = -14 and z = 9 4) -승+ + 3k use x = -4 and k = -7 5) 4(-3n - 2h) use n = -4 and h =…

A:

Q: 6. Which equation has a solution of s 9.5? (6.10B, SS, RC2) -5s = -47.5 %3D -3 + S 12.5 H -2s 19 %3D…

A:

Q: to d. 1 2/3 60% 4 61° °, mz2 = °, mz3 = %3D mz1 =

A:

Q: Find the real valued general solution of y" + 5y = 0. %3D

A:

Q: 4. Show that the equation x² + y? + z2 - – 2z + 6y + 4x + 15 = 0 represent a point.

A: our objective is to prove.

Q: Find the solution of 2y-y² sec²(xy²) + (2x − 2xysec² (xy²))y' = 0 given y(1) = 2.

A:

Q: The y, of y'"-y=2x2-x -3 by using variation of parameters is: .A Y,(x)= x - 1 .B y,(x)=x² + x +1 .C…

A:

Q: Find the solution of y"-y'-6y = -e* +12x with y(0)=1, y'(0)=-2 by method of undetermined…

A: The Auxiliary equation is D2-D-6=0 Solve for D  D2-3D+2D-6=0DD-3+2D-3=0D-3D+2=0D=3,-2 Therefore, the…

Q: Give a particular solution for y" – 2y' + y = 3e*.

A:

Q: Suppose that Yı x5 is a solution to x²y" – 10xy' + 30y 0. Use reduction of order to find another…

A:

Q: 8. Find the partic ular solution of x²y" + xy' = 1; y = 0 and y' = 1/2, when x = 1.

A: We have to find the particular solution of x2y''+xy'=1 ; y=0 and y'=12 when x=1.

Q: A particular solution to this equationy" +3y' +y= x-2ex can be obtained: Select one: a. by both, the…

A:

Q: Find the particular solution of y''-5y'=x-2 when x=0, y=0, y'=2

A: Given that that a non homogeneous differential equation and we find its solution.   Here i attached…

Q: (9) Does the equation r2 - 31y² = -45 have a solution? %3D in itegers please

A: The set of all (x,y) that satisfy an equation, y=f(x) are the solution of the equation.

Q: If y+3y = 8 then g- solution is %3D a- y + 6 = 1 b- In (8 -3y ) = x + c %3D

A:

Q: Solve for x: xy2 + yz2 - 4 = 2x - 1. 3-yz2 b) х %3D у2-2 a) x = *y^tyz2-3 2 с) х %3D 3 — yz2 -у? +2…

A: Consider the given expression.

Q: 5. Use the method of undetermined coefficients to solve (a) y" +2y' + y = x²e¬ª.

A:

Q: 2.a) Eliminate the Arbitrary Constants in the equation: y = 2C1cos(20) + C2sin(20)

A:

Q: Which of the following equations is the DE whose solution correspond to y = C1sin3x + C2cos3x + 9x²…

A:

Q: 5. If (2x- kx' +2k) dx = 12, then k must be %3D (А) -3 -3 (B) (C) 2 (D) 3

A: Solution :  ∫02(2x3-kx2+2k)dx=122x44-kx33+2kx02=122 244-k233+2k(2)-0=122164-k83+4k=12…

Q: 3. Verify that 3e-2x +4e* is a solution of y"- 3y' + 2y = 0.

A: We have to verify that 3e-2x+4ex is a solution of y'''-3y'+2y=0

Q: Show that the equation 3x+4y+5z=a, 4x+5y+6z=b and 5x+6y+7z=0 do not have a solution unless a+c=2b

A:

Q: Solve using MUC: '-8y + 16y=2(x+12) 3 y= C, e^X + C,xeAX + 8. X- 2 7 3 y=C; eX + C,xe^* + 7 X- 2 B…

A:

Q: 3.a) Eliminate the Arbitrary Constants in the equation: y = C1sin(2x + C2) y" + 4y = 0 у' — 4у%3D0 O…

A:

Q: 8. What is the particular solution of 2xyy' =1+y², when x = 2, y = 3 ? а. у%3D5x -1 C. y =V5x + 2 b.…

A:

Q: Note /M=4.9 -Mx хе y" + 3M²y = – 4My' (2Mx +1)' 3

A:

Q: 3. Verify that 3e 2x + 4e* is a solution of the y"-3y'+2y=0.

A: We have to verify if the given is a solution to given differential equation or not.

Q: 6) Find solution of the particular y"-2y'+y=x²-6x+ 2x

A: 6)Here the given differential equation is y''-2y'+y=x2-6x+2xe2exlet y=emx be the trial…

Q: Find the general solution of ylty = 2xcosx -cosX %3D

A:

Q: 5. Find a particular solution to the equation y" + 4y/ + 4y = xe-2".

A:

Q: 2x + 3)y’ = y + (2x + 3)1/2

A: Given differential equation can be reduced in linear differential equation

Q: Solve by finding rref form x+2y+z=6 2x-z=4 y-4z=2

A:

Q: The equation 7y'" – 12 y' + y = x can be categorized as: 2. %3D Non Linear, Non Homogeneous with…

A:

Q: 1. Find the number of non negative solutions to x + y + z + w 16. With the conditions that x > 2, y…

A: The complete solutions are given below

Q: - 2r2- 6y = -2x + 5y %3D he previous step at x = -3.

A:

Q: Find a particular solution to y" + 4y + 3y = 3te". %3D

A:

Q: 10. Solve for x and y: 3x - 5y = 13 -2х - Зу %3D 4

A:

Q: What points (x, y, z) satisfy the equations x2 + y2 = 4 and z = 3?

A: Given: x2+y2=4, z=3

Q: 4. Determine the unknowns using [X] = [A]¯*[B] and [A] by the adjoint method. %3D 10x + 2y – z = 27…

A:

Q: Give a particular solution for y" – 2y' + y = 3e*

A:

Q: Find the particular solution of (2x + 3)y = y + (2x + 3)/2; when x = -1, y = 0 Show your solutions…

A:

Q: 1- If y+3y = 8 then g- solution is %3D a- y + 6 = 1 b- In (8-3y) =x + c 3 a

A:

Q: Function as, y (x) = (x² – 2) (3x + 2) %3D

A: Given,          yx=x2-23x+2

Q: The substitution 1/2(1 – *k) Yk = (6.106) transforms the equation Yk+1 = 2у. (1 — ук) (6.107) into (…

A: