se method of refuction of order to find a second solution y2(x). Given that y1(x)=ex is a solution. (x(4)-4x)y'' + (4-x(4))y' + (4x-4)y =0

Q: solve y(4)-3y'''+2y''=e3x  using undetermined coefficient

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Q: Find the general solution by undetermined coefficients.  y'' + y = 2x2e-x.

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Q: Find the solution. y'• ty ty" © y- (1-c, y- - (1-co")

A: We have to solve y'+ty=ty3 This can be written as: y'+ty=ty3⇒1y3y'+tyy3=t⇒1y3y'+ty2=t⇒1y3dydt+ty2=t…

Q: if y+z=10, then (10x+y)(10x+z)=100x(x+1)+yz?

A: It is given that y+z=10. Use multiplication of binomials to find the value of the following:…

Q: (2x + 3)y' = y + √2x + 3, when x = -1, y = 0.

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Q: 40e5*, y(0) = ;, y'(0) =y"(0) 9. y" – 2y" + y' = 2 – 24e* + 2

A: Given: y'''-2y''+y' = 2-24ex+40e5x, y(0) = 12, y'(0)=52, y''(0)=-92

Q: Solve the difference equation: 3 (²7) y[n+ 2] - n> 0 y[0] = 10 and Y y[n + 1] + y[1] = 4 n (1) ₁…

A: Given difference equation is ,      yn+2-32yn+1+12yn = 14n   ;  n≥0     ;  y[0]=10  and  y[1]=4 (.)…

Q: 2. Solve X' - 3x – 4x+12 2 0 algebraically (number line)

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Q: if Pga)ろ-2X+ 6 and f(x)= /x Rind g(x) )-? %3D

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Q: hich of the following expressions could be a solution to the differential equation y" + 9y = 18? %3D

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Q: Solve x = - " 3x x 3x y= 4y + 2z у + 2y || || || 4 2 2 11 с

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Q: Q1: If y" + y = x², then yp = Q4: The solution of y(4) - 5y" + 4y = 0 is: (B) c₁e* + c₂ex +…

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Q: Find the general solution of (x+ 1)² -2(x+1) 9-(x²+2x-1) y = (x+1)² e*, y₁ = (x + 1)e is a solution…

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Q: of the form ₁ = x²(1+₁x + ₂x² + 3x³ + ...) Enter C1 = Find the solution of 4x²y" + 6x²y + y = 0, x>0…

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Q: Find the solution of 4x²y" - 6x²y + y = 0, x > 0 of the form Y₁ = x¹(1+₁x + €₂x² + 3x³ + ...) Enter…

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Q: Solve (x-1)' +(x-2)'+(x - 3)' +(x + 4)' +(x + 5)' = 0

A: The solution for the above question is as shown below.

Q: S(x) = 2x" + 4x + 2x + 1 g(x) = (x + 1) Find (fg)(- 1)

A: Given  f(x) = 2x3+4x2+2x+1 g(x) = (x+1)   We have to find (fg)(-1).

Q: Solve 1 0-²40 = 5 x (0) = - 4, y(0) = 10

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Q: Solve y+y = 1, y (0) = 4 Oy² = 1 +7e-² Oy = 1+7e-² Oy² = 1 +7e-² Oy = 1+5e-² Oy = 1+7e²

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Q: -1 -1 3. Find a particular solution of x' = -2 2 x+ 4 -1 -2 et

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Q: -[3x+(8x+1)]=6-(2x+4) Linear equation with on variable

A: Given,

Q: -y(2x+y) x(x+2y) - y'=-

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Q: solve (3-2) dx Ex Solve 3xý = zy (y-3) Ex6 + (3x-4) dy =0 %3D

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: 2.) f(x) = 2x + 4x + 2x + 1 %3D 31 2 g(x) = x - x + 7x +9 Find (f + g)(1)

A: Topic - functions

Q: f(x) = 4 − 2x/(x + 1)(x + 3)(2x + 1) = A/(x + 1) + B/(x + 3) + C/(2x + 1) find the values of A,B,C

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Q: Solve for Undetermined Coefficients y-y" - 4y + 4y = 5-e* + e²x

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Q: (2) x (x+3)y"+2y'+y=0 solve for yox)

A: To solve the differential equation: x(x+3)y''+2y'+y=0 We can start by assuming a solution of the…

Q: Solve [3] - [ -50 = -13] [0] x(0) 30 - x (t) = y(t) = Question Help: Message instructor Submit…

A: Solving by matrix method

Q: Explain the step by step process to get the final answer Problem #2: Differentiate f(x) = [(3x* –…

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