please answer the ff asap Consider the IVP: x" + x = 4et ; x(0) = 1, x'(0) = 3.

Q: 2) Use y = ax to solve 2'y" - xy' + (x+1)y=0.

A: The given differential equation is: 2x2y''-xy'+x+1y=0. We have to solve using y=∑n=0∞anxn+r.

Q: Find f'(x) for f(x) = - 8A√x - 5Bx⁹ where A and B are constants. Completely simplify any fractions.…

A: Solution of given question is written in below steps.

Q: Q5/ Determine the positive root of f(x) = x¹0 - 1 using the Newton-Raphson method and an initial…

A: The function is given as f(x)=x10-1. We have to find the positive root of the function using…

Q: Solve using variation of parameters y"" + 2y" - 5y' - 6y = e-*

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Q: y = e"(1 – y²), y(0) =

A: We will find out the required solution for given differential equation.

Q: i- 1 X1 104 0. X2 %3D Find the nontrivial solutions for 2 3 8 X3

A: Please refer the attached image for complete solution.

Q: Find the positive root of the equation e = 1+r++Fe0.3%

A: For the function Fx=ex-1+x+x22+x66e0.3x:  F2<0 and F3>0

Q: (x – 3' If f(x) = 4x + 3, find 4

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Q: I have equation 3x(y-x)=0. Is it true that x here is equal to 0 and y is equal to x? How can I show…

A: To check:  Whether x here is equal to 0 and y is equal to x. Given information: The equation is…

Q: Find the general solution of x'"'"+2x" +x=0.

A: Solution:

Q: 4. [x'vx* -25dx - 25 dx

A:

Q: х? + 2х + 9y? — 18у + 11 3D 0 Is the equation of: Select one: О а. Нурerbola O b. Ellipse O c.…

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

Q: Solve Where X (0) = (1) 1 = (-²₂23) X(0) + (₂) X' (t) =

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Q: I want solve

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Q: Can you elaborate how to incorporate c into the solution. Like c=0? And how does f'(0)=7 and…

A: Solution below

Q: x?S(x x] =0 2 2 x Can be wpitden as s" (o)= the Solu tion is

A: Note:- You have mistakenly written it as c1e^ax + c2e^-ax. At the place of a there will be α.

Q: Find f'(x) of f(x) = 3π√123

A: given: fx=3π123 we have to find f'(x)

Q: Refer to the figure below. Find a - b + c. x' - (, :)x+ () 3 X' = X + 3 ; X(0) = (;) 4e4t Answer : X…

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Q: 7 0-3 -9 -2 3 18 0-8 y, y(0) = 2 3

A: Given y'=70-3-9-23180-8y Also given y0=23-1   To reduce to row echelon form and solve for constant…

Q: 5. Given: f (x) = ax³ – 9x² + 2x – 4 and g(x) = bx³ – 5x² + 62x + 70 | Solve for all values of a and…

A: We have to find

Q: y'+Sy +b4= x²eX Sin5x Find the general solution of the equation.

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Q: f' If ƒ (1) = 1, ƒ' (3) = 3 and f" (x) = 4x - 4 find the constant term of the cubic function f (x).…

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Q: Solve for the particular solution: x²y" - xy' - 3y = In x. Oyp = (In x)/3 - 2/9 yp = -x/3 + 2/9 Oyp…

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Q: If u(x) = x3, then du = 3x2.

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Q: x=4 y=5 z=(x÷y×√y-x^2)/(y×√y-√x-2/(√x+√3)) solve with betlab

A: We need to evaluate the expression: (x÷y×y-x2)/(y×y-x-2/(x+3)) for x=4, y=5 using a computer algebra…

Q: x3 – 2x? – 5 = 0, [1,4]

A: f(x) = x³ - 2 x ² - 5 , [1,4] f(1) = -6 <0,  f(2) = -5 <0, f(3) = 4 >0, f(4) = 27 >0…

Q: Find the general solution to 22" +3ry = 2x3, r> 0. x>0.

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Q: Solve X' = AX: 1 1 1 A = 1 0 -1 1 3

A: Find the eigenvalues of A.

Q: 8х, + х2 — хз — 8 2x1 + x2 + 9x3 = 12 X1 - 7x2 + 2x3 = -4 Solve equation system by using SOR method…

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Q: The general solution to the ODE x²y" + 2xy' - 2y = 0 is y = C1x + C2x-2. Use variation of parameters…

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