"ption 11: he Athletic Council decides er the annual Athletic Banque se the following equation to ost of renting, where C is the- ollars and n is the number of portsmania: C - 15n + 400

Q: NAME: 33. Exercise 18 Use the method of climination to solve. Sx+6y-37 1. 2x-3y-4 Av-2y-10 2x+Sy-13…

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Q: 2) [3 Solve the IVP: y" - 6y + 8y = 0, y(0) = 0, y' (0) = 2.

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Q: b) Consider the second-order DE. y+25y = 0 rE(-00,00) Show the zero's of the solutions separate each…

A: Given differential equation is, y''+25y=0 We know that the solution to a homogenous differential…

Q: In which form should we look for the particular solution of: Y” + y = x3cos(x)

A: Let y=yc+yp be the general solution, where yc is complementary function and yp is particular…

Q: 1.Determine una segunda solución en: 9y "- 9y = 0 ; y,=e* .Considere C,=-2; C,=0

A: Given

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

A: According to company rule we can answer only first question and rest can be reposted.

Q: . Solve the yn+2+4Yn+1-5Yn coefficients = n2"+2" using method of undetermined

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Q: Differenticte y= (SN( 3))/ (4t 5cos (2x))

A: Given :y=sin(3x)4+5cos(2x)

Q: Solve (x² + 4)y' = 2xy In|x] = In(y? + 4) +C O Option 1 Inlyl = In(x² + 4) +C

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Q: Find the general Solution for Ive Coeffcent? using method of undetermined y'0) =4

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Q: Let (xp, y,) be the solution of the following equations In 2 (2x)™² = (3y)n3 3Inx = 2lny %3D Then xo

A: Given equations are 2xln2=3yln33lnx=2lny

Q: A) (:: :) Verify that y = c₁cos(3x) + c₂sin(3x) is a solution of y' +9y = 0

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find the general solution of the following DE in explicit form. y'=2+2/y-2x +7

A: Thanks for the question :)And your upvote will be really appreciable ;)

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

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Q: 2. Find the general solution of d'y d'y + 12 dr Sy 21e dr

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Q: Find a particular solution to 11.5e5t y" – 10y + 25y t2 +1 Yp %3D

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Q: Find a particular solution to y″+36y = 60sin(6t).

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Q: 5/ (2xsin x +3cos y)dr- 3xsin ydy = 0

A: Please rate.  Exact differential equation

Q: ind the particular solution of (9x-2yldx- x(6x- yldy-0 when x-1. y=1 To start let y-vx

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Q: 03) Prove or disprove that y = ce* + de ²x is the solution to y(2) + y(¹) - 2y = 0.

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Q: Find a particular solution to y′′+16y=24sin(4t).

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Q: 2) 4= -4x required: a) Fih d the value of Y iF X=1

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Q: b) Consider the second-order DE. y" +25y = 0 rE (-00, 00) Show the zero’s of the solutions separate…

A: The given differential equation is y''+25y=0 If D=dydx then equation will be D2+25y=0 Now Auxilliary…

Q: Given the preconditions for x and y as |x – y| ≤ 200, |2x + y - 150| ≤ 250, show the post-conditions…

A: The complete solutions are given below

Q: We wish to find the solution to =26y that passes through the point (x, y) = (1, 3).

A: Explained below

Q: Show that the equation 2³ + 3y3 = 923 has no solution in integers, other than x = y = z = 0.

A: Suppose that, x3+3y3=9z2 has a non-trivial solution, that is other than (0,0,0), and minimal.

Q: 6y" – 7y' – 5y = 2x³ + e¯* – 5 -

A: Ordinary differential equation involves the derivative of single dependent and single independent…

Q: Obtain the general solution valid near the origin: 2y'+9ху'-36у 30

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Q: 6. Use undetermined coefficients to find a general solution of -2x y" + 5y' + 6y = 3e¬2= +e3z

A: The given differential equation is y''+5y'+6y=3e-2x+e3x

Q: 2. у" — у' — х %3D 0

A: To solve the given differential equation.

Q: Find the general solution of the DE: y" + y" – 16y' + 20 = 0.

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Q: -3 Show that y(x) = -9x7 is a solution to 4x²y" + 12xy' + 3y = 0 for x > 0. %3D

A: We will show in step 2.

Q: determine by inspection at least two solutions of the given first-order IV . 15. y-  3y2/3, y(0) …

A: Consider the given y'=3y23 and y0=0

Q: 1. Show that y = c,x1 + c,x³ is a family of solutions of x?y" - xy' - 3y = 0.

A:

Q: Find the general solution to the homogenous DE y'-16у' + 64у %3 0

A: The given homogeneous DE is y''-16y'+64y=0. The auxiliary equation is m2-16m+64=0.

Q: Consider the following IVP: y'' -3y' -10y = 1, y(0) = -1, y'(0) = 2

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Q: Let (x, y,) be the solution of the following equations In 2 (2x) = (3y)m3 3Inx: = 2Iny Then is

A: This is very complicated & lengthy problem.So I can do it in Advanced Mathematics.

Q: What is the particular solution of 2xyy' = 1+y2 , when x =2, y = 3

A: The given differential equation is solved below in detail.

Q: onsider the following IVP: y'' -3y' -10y = 1, y(0) = -1, y'(0) = 2

A: Given differential equation is y'' - 3y' - 10y = 1 ; y(0) = -1, y'(0) = 2

Q: y" + 10y' + 26y =0

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Q: The solution of the IVP t(t + 4)y + (t + 4) y =t, y(2) = 2 exists in the interv

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Q: - 9y" = 27 %3D

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Q: Find the general solution to y(4) – 11y" + 30y" = 0. In your answer, use c1, C2, C3 and c4 to denote…

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Q: b) Find particular solution of х*у 3- (х-1) у. У(1) — 1. У(1) %3D 1.

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Q: Find the general solution. 6y(4) + 7y" – 12y" – 3y' + 2y = 0 SHOW WORK.

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Q: For a second example, consider fk = 3k3 + k – 1. We have Afk = 9k² + 9k + 4, A² fk = 18k + 18, A³ fk…

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Q: Verify that yp = 3e2x is a particular solutions of y" − 6y′ + 5? = −9e2x .

A: Explanation is given below...

Q: Find a particular solution to -14.5e-3t y" + 6y +9y 12 +1 Yp = %3D

A: