43. Using the method of undetermined coefficients, write the form of the assumed particular solution for DE y" – 2y + y = x²e=². Do not use D for an unknown constant.

Q: If 3x = 9y and 27y = 81z, find x/z?

A:

Q: dy = 2x(1+y²) ex²

A:

Q: Solve the given DE: 2ydx=3xdy, when x-2, y=1. O y=(x/2)^(2/3) O y=(x/2)^(1/3) O y=(x/3)^(2/3) O…

A:

Q: calculate y" and y"'. y = 7 − 2x

A: Given function: y=7-2x

Q: Find two First terms whose product is 3x. 3x? – 13xy + 4y² = (3x ?y)(x ?y)

A: Given that, 3x2-13xy+4y2=3x    ?yx   ?y

Q: 1. Find 2(3z + 4)² dz.

A:

Q: Solve for x: 4x - 4xy +1-y = 0

A:

Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

A:

Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: Find the characteristics equation of x²r+2xys+y²t

A:

Q: Eliminate the arbitrary constant. y=Ax 5+ Bx³ A B 7xy "- x²y + 15y = 0 D x²y '- 7xy "+15y = 0…

A:

Q: 3. (x +2 ) Ex²-4)

A: y=(x+2)3x2-4

Q: 1 x² + y² = 4

A: Given: 1x2+y2=4

Q: 2 X 2 X 0+ - 4 +4 dx =

A: C+C

Q: Differentiate. y = (r2 – 4r)e" %3D

A: Given,            y = r2 - 4r er

Q: 1/3y+4=1/5y

A:

Q: 2 D²y+y=secx²

A:

Q: Solve for y. x= (3y+5)/(7y-1)

A: To solve for .

Q: = (2xy + z² )i + (x² +z)j + (y + 2xz)k, determine a possible value for .

A:

Q: Solve for y. (4y + 7)* 13x + 15 19x - 15 (10y-37)'

A: 1) Opposite angles of a parallelogram are equal 2) Sum of all the interior angles is 360 degrees. In…

Q: Calculate y" and y"'. y = x4 − 25x2 + 2x

A: Use the power rule and sum rule and difference rule of derivative:

Q: Let y = 3e¹ 2x³+e-4z. . Which is y'? You will need to simplify to find the answer.

A: The given function is

Q: Find m/B. (4r + 11 (6x- 15

A:

Q: olve ædy = y(1+ In y – In a)

A:

Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)