determine the general solution of y''-y=0 given y1(x)=e-2x using reduction of orders

Q: x²+1 Find J+3x+1 11.

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Q: If y = u³ - 4 and u = 3x² + 10, find y' O 18x(3x² +10)² O 3x(6x² + 10)² O18(3x² +10)² 6x(3x² +10)² घ

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Q: 5x Differentiate y= (4x – 3)* * 4x + 1 y' = (4x – 3)5 -60x – 15 y' = (4x – 3)5 - 15x + 1 (4x – 3)5 |…

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

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Q: Find y'. y = (x² - 2x+2)(2x³ - x²+4) OA. 10x4 - 20x³ + 18x² + 4x-8 OB. 10x4 - 16x³ + 18x² + 4x-8 O…

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Q: Let y₁ = xe-* be a solution of the equation y" + 2y' + y = 0. Find the second solution from y₁ by…

A: We know that if y1 be a solution to the second order homogeneous lineardifferential equation…

Q: Determine all solutions. y'= (x-y + 3)²

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Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: Suppose that Yı x5 is a solution to x²y" – 10xy' + 30y 0. Use reduction of order to find another…

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Q: (x"^y2/5)20 1/4 2/5 (x' (2) 2

A: since you have asked multiple questions in single request so we will be answering only first…

Q: Find the general solution y''-y'-2y=0

A: Given the differential equation y''-y'-2y=0. We need to find the general solution of the above…

Q: Find a particular solution y'''-y''-4y'+8y=6xe^2x

A: y'''-y''-4y'+8y=6xe^2x Particular integral = 6xe2x 6xe2xD3-D2-4D+8By using property shift F(D) to…

Q: dy %3D 1. If x'+ xy-3y' 10, then dx %3D

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Q: function of xx if

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Q: Find y'

A: given

Q: Find the GS of 2 (x - α)² = where a is an arbitrary constant and you may want to consider "pilot" y₁…

A: As per the question we are given the following nonlinear first order differential equation…

Q: Find the nonhomogeneous ODE whose general solution is y=c₁(x+1) ³+c₂(x+1)3³+x-1. (x + 1)² y" + (x +…

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: 5. Solve the equation xydx + (x + 1)dy = 0. ex = cy(x + 1) yex = c(x + 1) c. y = cex(x + 1) d. ye*(x…

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Q: Find the general solution of the DE: y’’’ - 4y’ = 32xe^2x - 24x^2

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Q: Solve  y'' − 2y' + 5y = x2 + 1

A: Solution

Q: y= (2x)(3x+1), find y' none of these answers O 6x+2 O 12x+2 O 12x+3

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Q: Eliminate C from the equation y=3x²+ Ce=2x. Ay'-2y-6x²+6x=0 B) y'- 2y + 6x² - 6x=0 Ⓒ2y+y'+3x²+6x=0…

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Q: find the solution of y''-2y'=x - e^3x

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