C. Eliminate the arbitrary constants in each equation and express the final answers in the following form: a,n(x)y(n) + an-1(x)yn-1) + . .. + a1(x)y' + ao(x)y – g(x) = 0 . 1. r* – y² = cy 2. y = cje" + cze²" + c3e*r

Q: b) y = (3x-1)e-x²

A: The equation you've provided is a mathematical expression in terms of a variable x, given by:…

Q: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: x6(xy)² xy-1 If Find: a = b= is equal to xayb

A:

Q: y= Ax + Be

A: Given equations y = Ax + Bex To eliminate the arbitrary constants.

Q: 22. Differentiate the following with respect to the variable x, giving your answer in a implified…

A:

Q: = 4 y = 2x – 1 :-y

A: Topic - linear equation In two Variables

Q: Enter the number that belongs in the green box as you solve for y. [(y)/(5)+7]=[3],[-7-[?]]

A: Let us solve above problem

Q: Q: Solve (3xy+ y ) dx+(x +xy) dy = 0

A: 3xy + y2dx + x2+xydy =0 3xy + y2dx =- x2+xydy  dydx=-3xy + y2 x2+xy Put y = vxv + xdvdx =-3x.vx +…

Q: Solve for x. * (7x) (7x) I (4x) (4x)) F (7x) (7x)/ H. O x= 36 O x= 20 O x= 10 O x = 24

A: the sum of the interior angles of a hexagon is 720 degrees.

Q: e) Solve [(-x'y)² + (x²y)³]²

A:

Q: - Solve the equation z = x² + xy² when x = = 0, zz = y³ and when x = 2, z = y.

A:

Q: Eliminate the arbitrary constant. y=Ax² + Bx³ 7xy "-x²y + 15y = 0 A (В) B (C) D x²y-7xy "+ 15y = 0…

A:

Q: a. If y = 1000(2-0.1x ), find the value of y whenx = 10.b. Use graphical or numerical methods to…

A: If y = 1000(2-0.1x ), find the value of y whenx = 10.

Q: Show that the general cubic equation y3 + by2 + cy + d = 0can be transformed into an equation of the…

A: To find the equation of the form

Q: Put the equation y = x + 6x + 5 into the form y = (x - h)' + k: Answer: y =

A:

Q: y = C₁x² + C₂e -X

A:

Q: x²y – xy² + y² = 7

A:

Q: Find the inditial equation for xヴ X 9+2Xy+3yso

A:

Q: The molarity of a solute in solution is defined to be the number of moles of solute per liter of…

A: The provided information is:

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A: Given that: (b) y=exx2(c) y=cosx2+1(d) y=2x2x+1 The quotient rule of derivative is…

Q: Solve for y in terms of x   7x+3y=2

A: We first subtract 7x from both sides    7x+3y=2 7x-7x+3y=2-7x 3y=2-7x

Q: Find y'when yex = 3y+ x and y(0)=3

A:

Q: Let y=(x2-1)3 Find yn

A:

Q: If h(x) = 4x – 3, what is an equation for h-1(x)? O A. h-1(x) = 3x + 4 O B. h-1(x) = 3x – 4 O C.…

A:

Q: Given y=(3-ex)/2ex  , determine the behavior as x approaches negative infinity

A:

Q: 8. Given av av 25202v ат +S as² as find a change of variable of S to x(S) so that this equation has…

A: Solution: Given ∂V∂τ=2S2∂2V∂S2+S∂V∂S-V given condition is a change of variable of S to x(S), So our…

Q: Solve for x: 3 2 x+3 6. 3. 4. x+6 3-19 -1 2.

A: Solve for x. Given information: detx23 2x+36 34x+6=detx3 -3-19 Calculation: First find detx23 2x+36…