Find the particular solution of the DE y " -11y + 24y = 0 subject to the boundary conditions y (0) = 2, y' (0) = -3 -1.8e8x + 3.8e3x 3.8e8x + 1.8e3x 1.8e& - 3.8e3r 3.8e8x - 1.8e3x

Q: 4. y=x+c₁e* + C2e-* y" -y + x = 0

A: Since you have posted multiple question, I can do first question as per our company guidelines.…

Q: The boundary value problem y" + y + y = x, y' (1) = 1, y(2) = 2 is solved using central differences…

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Q: 3y = /2y – 1, y(1) = 1. ) Find the solution y = y(x) of this IVP. Please present your solution y =…

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Q: x²y" − x(x + 2)y' + (x + 2)y = 0, 0 < x

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Q: 3(3y² + x²)dy - 2xydx = 0 when x = 3, y = -2

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Q: Use variation of parameters to find a particular solution of y"- 2y' +y = 14xie" Yp(x)

A: y''-2y'+y=14x32ex find the roots for the homogeneous system  r2-2r+1=0 r-12=0 r-1=0 r=1 for one real…

Q: This problem is about the constant coefficient linear inhomogeneous equation p(d/dx)y = f(x) where…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 11. g 13. F(r) = 3 r

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Q: Use undetermined coefficients to find the particular solution to y'' + 5y' + 4y = 3e³t Y(t) =

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Q: 25. Let y = y₁ (t) be a solution of y' + p(t)y = 0, and let y = y₂ (t) be a solution of y' + p(t)y =…

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Q: 3. Is y(x) = C,sin2x + C2cos2x, where C1 and C2are arbitrary constants, a solution of y" + 4y = 0?

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Q: A particular solution of x²y" - 2y = 3x²-1, t>0, y₁(x)=x², v₂(x)=x-¹

A: Given differential equation x2y''-2y=3x2-1    ,   y1x=x2  , y2x=x-1 =1xdibided by x2 on both sides…

Q: Find y' if ey+y²=2x. yey – 2 y'= хе + 2у хе + 2у y'= ye – 2 хе*У + 2у y'= 2 – yey 2 – ye y'= хе*У +…

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Q: Find the solution of y"-y'-6y = -e* +12x with y(0)=1, y'(0)=-2 by method of undetermined…

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Q: Use variation of parameters to find the particular solution to 3t y'' + 5y + 4y = 2e Y(t)=| Preview

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Q: а. у' +3у%38, у(0) %3D4 b. 1 xdx+dy= 0, y(0)=8 y c. senxdx+ ydy=0 y(0)= -2 d. y' +2xy2 = 0, y(0) = 3

A: y = -srqt(2+2cosx) is a solution of:

Q: The function y =x is one the solution of (x-1)y-xy'+y= 0. we use reduction to order method, second…

A: Given y=x is one solution of x-1y''-xy'+y=0. Let, y=vx be another solution of the given equation.…

Q: 2. Use separation of variables to solve (a) y' = -2y, y(0) = 1 (b) 4y' = y², y(0) = 4 %3D (c) y' + y…

A: Note:  "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Use variation of parameters to find the particular solution to y'' + 5y' + 4y = 2e-34 Y(t) = […

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Q: 7. Given 2x2y" + xy' + 3y = 0 show that 2x2y+2) + (4n + 1)xy"+1) + (2n² – n+ 3)ym) = 0 %3D

A: We use the method of mathematical induction to show the given statement holds (given…

Q: 4 y'+− y = 2; y(1) = −4 {y= X 2 = 5 -x-- 22 X 5

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Q: The solution to the IVP (x² + y²) y'+xy=0 with y (0) = 2 is y (2x²-y)=4. y²(2x² + y²) = 16. Oy²(2x²…

A: The given problem is to find the solution for the given initial value problem with given initial…

Q: x(0) = -2 y(0) = 2 x' = -2x +y y' = -5x + 4y (x(t)) diferansiyel denklem sisteminin çözüm vektörü…

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Q: Suppose that x-y" + axy' + by = 0 has the general solution of the following form: y = C,x³ + C2x³ In…

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Q: Solve the DE xy(y² + 1)dx + (x²y² - 2) dy; y(1). = 1 O x^2 (y^2 - 1) = 2 - 4ln(y) O x^2 (y^2 + 1) =…

A: Here we have to solve the differential equation.

Q: xy' + 2y = 3x, y(1) = 5 %3D

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Q: b) y(4) + y(3) – 7y(2) – y' + 6y = 0. c) y(4) – y(3) – 7y(2) + y' + 6y = 0.

A: Solve the given differential equation Here I am giving answer of 1 st problem if you want answer of…