2. Eliminate the arbitrary constant on the given equation: Y C12? + C2e¬#

Q: Solve da dy zdz y+x a² – 2xy– y²

A: We are given with dxy-x = dyy+x = z dzx2-2xy-y2 From first two equations we get dxy-x = dyy+x(y+x)dx…

Q: Determine by substitution if y(x) =xe* is a solution of y"- 2y' +y = 0 %3D

A: Given  The differential equation is y''-2y'+y=0

Q: V²R P = (R+r)² ' where r is variable, and R and V are constant. dP dr

A: Given: P=V2RR+r2, where r is variable, and R and V are constant We know that ddxx+an=nx+an-1…

Q: Complete the equation for oA. Ty 4 -2 A

A:

Q: 2- The order of equation 4y"" + 2(y")5-5xy = 0 is.

A: Note: As per bartleby guidelines, I can answer only one question. So, kindly repost the other…

Q: 1. y = xye"

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

Q: For x = t3 + 2, y = 3 – t, give an equation in terms of x and y.

A:

Q: Solve y'" – 4y' + 20y = – 68e*, y(0) = 0, y'(0) = 0| - y(t) :

A:

Q: Solve J by Using Variation of Parameters method: 4ý+36 y = csc (3×). CSC (3X).

A:

Q: 3x (0キ4D+5)y %3D 50x t 13 e

A: From the given differential equation: D2+4D+5y=50x+13e3x So, the auxiliary equation is: m2+4m+5=0m1,…

Q: solve the following using variation of parameters: y"+9y=1/4csc3x

A: The given differential equation is y''+9y=14cosc 3xORy''+9y=sin 3x4 The solution using the method of…

Q: Eliminate the arbitrary constants from the following equations. y = c1e10x + c2e−9x + c3e8x

A: To Eliminate the arbitary constantsfirst we differentiate three timesbecause It has three…

Q: Solve the IVP 2y"+5y'-3y=0 y(0)=-5 y'(0)=29 y(x)=?

A: The given differential equation is                                                   2y''+5y'-3y=0…

Q: If y = #(x – 1)7 then y' at æ = 2 Is equal to Select one: а. —5 b. 5 c. d.

A:

Q: Show by direct substitution that is a solution of y" +xy=0_ _and write the general solution.

A: Given that, y=xj1323x12 And the given differential equation is, y''+xy=0...1 The solving by power…

Q: Eliminate the arbitrary constants from the following equations. x2 + 4(y − c)2 = c2

A:

Q: Eliminate the Arbitrary Constant 1. Y? + Cx? – x = 0

A:

Q: 6. r90°,0(STUV) A y T. S

A: We can graph STUV as shown below

Q: Eliminate the arbitrary constants from the following equations. (y − 33)2 = 4a(x − h)

A: We have to eliminate the arbitary constant

Q: y y' = x+vxy

A: We have to find the solution of  y' = yx+xy.

Q: Q1/ Do three steps atthe Secaut m キ4ood Lor (x)- X-2 Using X 0

A:

Q: 2. x² + 4(y – c)² = c²

A: Given X2+4(y-c)2 = c2  To find:- Eliminate the arbitrary constant from given equation

Q: y = cze10x + Cze¬9x + c3e8x -9х + C2e

A: Given  y = c1e10x + c2e-9x + c3e8x We have to eliminate the arbitrary constants.

Q: ut the equation y 4x2 - 32x + 7 into the form y = (x – h)² + k: %3D nswer: y =

A: We need to make whole square .

Q: Given that y = 1.6-X, write an equivalent equation in the form y = bx, with 0 < b < 1. y

A: To find the equivalent equation form we will use the power rules.

Q: Eliminate the arbitrary constant on the given equation: y = C1e-2x + Cze2x

A:

Q: x²y – xy² + y² = 7

A:

Q: 2. Eliminate the arbitrary constant on the given equation: y C12² + C2e'

A: Given that            y=C1 x2+ C2 e-x  ...................i  Differentiate , we get           y'=2C1…

Q: Solve y(H) a) Y (6) = y (4) = ? %3D b) y"-y' • 24 ylo)=1;y'(0)=-2 %3D

A: We have to find the solution y(t) from the following  a) y(s)=1s2(s2+1) b) y''-y'=2t, y(0)=1,…

Q: Complete the equation for OA. ty 4 -2 -2 A

A: From the given image of circle we see that, the center of the circle is at ( - 4, - 2) and the…

Q: Given that y = 3t^3 + 1 and x = t^2 - 5. Find y' when x = 4. Express your answer in whole number.

A: Given that: y=3t3+1x=t2-5

Q: Eliminate all the constant in the equation and simplify your final answer. 1. Cx² + x + y = 0 2. y =…

A:

Q: 1 dA (1+x2+y2)z

A: Explanation of the answer is as follows

Q: Solve for the equation using seperation of variable. xy3dx + (y+1)e -xdy =0

A: To solve this using the variable seperable method let us simplify the differential equation Given…

Q: If y = kx, where k is a constant, and y = 18 when x = 9, what is the value of y when x = 7? %3D A)…

A:

Q: 1- Form the PDE by eliminating the arbitrary constants from the following equation : z = (x - a)? +…

A:

Q: Show by direct substitution that is a solution of y" +xy=0 and write the general solution.

A: Given :

Q: y= C, x? + Ca e 2*

A:

Q: 2 y² 1 %3D 2.

A:

Q: Eliminate the arbitrary constants. 2) y = C;x?e* + C2x?

A:

Q: R Q QS = (-12+x) yd; OS = yd 6. %3D %3D

A:

Q: Set up an equation and solve for x. U x+4 L 3 2x +1 W 10

A:

Q: Eliminate the arbitrary constants of  y=[Ce^(10x)] + [Be^(-9x)] + [De^(8x)] Where C, B and D are…

A:

Q: Rewrite the equation 6x – 9y = 12 in terms of y. O A. y= 2x – 4 - OB. y =x-2 O C. y= x- y = O D y+x=

A: Here we rewrite the equation 6x-9y = 12 in terms of y

Q: . Eliminate the arbitrary constant on the given equation: y = x + Cje + C2e¯2x

A:

Q: Solve the following IVP. y" -2y' + y = t; y(0) = 1 ; y'(0) = 0

A:

Q: Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution.

A:

Q: 4. Eliminate the arbitrary constant on the given equation: y = x + C1e2 + Cze-20 %3D

A: The given equation,y=x+C1e2x+C2e-2x

Q: dy , Suppose z and y are variables that satisfy the equation r² – y³ = 12. What is dr

A: