(х — 4у— 7z — w %3D y + z – 2w = -3 х + 2у — z %3D 2 (2х + 4у +z — Зw %3D — 2 –19 %3D

Q: E R -2x - 6 M NL = %3D 2x – 14 SR = I+ 15 x+2 wV = x+21 F FD WN = 4y x + 4 6(y -1) 4x -2

A:

Q: If y(t) = c1e -2t + Cze 2 + 2et is the general solution for 2y" + 5y' + 2y = h(t), then h(t) = %3D…

A: The given question is solved below.

Q: Find the general solution to y" + 7y' + 12y = 6e*. %3D

A: Consider the provided question, y''+7y'+12y=6e-xAuxilary equation…

Q: Find the solution of 9 y" + 6y' + 9y = 0 that satisfies y{0) = l,.y' /(0) = 0.

A: Solution: Consider the given differential equation is: 9y'' + 6y' +9y = 0or 3y'' + 2y' +3y = 0 Put…

Q: y" + 5y/ + 4y = 4te*.

A:

Q: Let y (x) be the solution of the IVP xy' -3y =x4, y(1)=2 Evaluate y(7).

A: We will rearrange the given differential equation and find a general solution of the given equation…

Q: Find the general solutione (3xy — 4y3 + б)ӑх + (x? — бх*у? — 1) dy %3D0 а. (х +у-2)? %3D с (х — у +…

A:

Q: Find the general solution to a?y" + 5xy' - 2y = 0. OA. y = cje 4x + cze OB. y = c1x4 + c2x1 OC. y =…

A: Given differential equation is x2y''+5xy'−2y=0....1 The given differentia equation is in the form of…

Q: If z = 3x2 – 2y3, x = 1+ s²t and y = 33 – t2, then dz %3D O a) 6x(1+ s²)+ 12ty O b) 6s²x – 12ty - c)…

A:

Q: Which of the following is the solution to y" – 5y' – 24y = 0 %3D a) y = Ae-3x + Be-8x b) y = Ae3x +…

A: To find the correct solution, we will all options one by one (a) y=Ae-3x+Be-8x    →(1)…

Q: What is the particular solution of (3y? + 10ry?) dæ + (6zy - 2 + 10x?y) dy = 0 when x = 1 and y 2 ?…

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Q: 4. Find the particular solution of xy' – 2y = –x ; when x = 1, y = 5 a.y = x + 4x? с. у %3D х — 2х2…

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Q: Find x and y in terms of a and b.     ax  +  by  =  1 bx  +  ay  =  1       (a2 − b2…

A: We multiply the first equation by b and the second equation by a. Then subtract them  Subtracting…

Q: The solution of the DE (4xy -3)y' =-2y² -1 is 2xy² + x – 3y = c O None of these 2хy? - х - Зу 3 с…

A:

Q: f(x,y) = 40x+ + 72x³y+ 85XU fur eblidl w jall dissui %3D -226x2 A O -226 BO 216x2 CO

A: To find fyx = ?   Given : f(x,y) = 40x4 + 72x3y + 85x

Q: 3. Find the general solution of 2xydx + y?dy 0 A. y? = 2(c + x?) B. y = 2(c - x?) %3D %3D 2= 2(c -…

A: Given that: 2xydx+y2dy=0

Q: Find the particular solution to D²y – 6Dy + 9y = e3x – ex when x = 0, y =y' = - 3 %3D

A: For given differential equation we have to find particular solution.

Q: Let y(x) be the solution of the IVP xy'-2y =x3, y (1)=2. Evaluate y(16).

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

Q: I. Obtain the general solution of the following: a) (D2 + 3D + 2)y = 1 + 3x + x2 b.) (D2 − 6D +…

A: Use rules of differential equations

Q: Solve the following equation by using separation variable method: y(x,0)=10 1>0 0<r<A y.(0,1)= y,…

A:

Q: What is the solution (xy- a) da + (x²y + y) dy = 0 when I = 2 and y = 1 %3D %3D o (+1) (y? + 1) = 10…

A:

Q: What is the particular solution of (2ay? + 3x?) dæ + (2æ²y + 4y³dy ) dy when 2 and y 1 O x? y? + x³…

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Q: The solution of the IVP, y' = -2xy, y(0) = 2, is: %3D

A:

Q: The general solution of the DE x?y" + xy' – 9y = 0 where y(1) = 2 and y'(1) = 0 is %3D

A: Given differential equation: x2y''+xy'-9y=0 wherey1=2 and y'1=0

Q: Find a particular solution to y" + 7y' + 10y = -19te“. %3D

A: Introduction: When there is a non-zero function of the independent variable on the right-hand side…

Q: y= eo00Xis a solution of Select one: a. y = 600y %3D O b. y = - 600y O C. y = - 800y d. y = 800y %3D

A: The solution is given as

Q: 9. Find the general Solution of the following DE. a. (D - 4D2+ 4D)y = 0. b. (9D + 6D² + D)y = 0. c.…

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Q: Obtain the general solution unless otherwise instructed . (D² − 3D + 2)y = e²x(1 + e²x) −¹ Yc = Ур =…

A:

Q: a.) = y° (4 – y²) - b.) y' = y In(y+ 2) %3D c.) = (ye" – 9y)/e" -

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Q: Show for Re(2) > 1 ez - 1dr = r'(z) 5(2). %3D 0,

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Q: Solve the equation below for y. ons 3x + 2y = 4 %3D O y = -r + 4 O y = -0+2 Ov = +4 O y = -3x + 4

A: The objective is to find the value of y.

Q: Find the general solution of y"-y'+6y = 0 O A. y = Ae + Ber O B. y = Ae 3* %3D + Bex O C. y = Ae* +…

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Q: The solution of the IVP y"-3y'-4y 0, y(0)3D0, y'(0)=5 is: Select one: a. V= - e 4t + e b. y= e 41 -…

A:

Q: 1. Find the general solution of the following DE: c) y"-9y = 0 d) y"-6у'+ 9у 3D0 a) y"+3y'+ 2y = 0…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other part…

Q: 9. (D2 - 2D +5)²y = 0 %3D

A:

Q: Find the general Solution of DES 2x y Y' = x? +2y} %3D

A: SOLUTION-

Q: Determine C, and C, so that y(x) = C¸ e²* + C2e* + 2sinx will satisfy the conditions y(0) = and…

A: Put x=0 in y(x).

Q: Consider the IVP: y" + 9y = 40ex ; y(0) = 5, y'(0) = -2. Find the general solution.

A: Use the given differential and initial conditions.

Q: Find the particular solution of y" + 2y' – 3y = 0 when x = 0, y = 0, y' = -4. %D

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Q: E. 2x-3y + z = 10 %3D y + 2z = 13 %3D z = 5 II wo - x + y - z = 4 3x + 2y + 4z = 17 -x + 5y + z = 8

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Q: Show that y = c1ex + c2e-x + c e + 3 is a solution of y ||| -2y | | - and | + 2y = 6 (justify).

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Q: Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution.

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Q: Find the general solution of y(4x + уjах — 2(х? — у)dy %3D 0 а. 2х3 — ху + ylny %3D су b. 2x2 + ху +…

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Q: Obtain the particular solution of (3x² – 2y²)y' = 2xy when x = 0,y = 1. a. x2 = 2y² (y + 1) c. x2 =…

A: Let's find.

Q: 23D + 12D + 36) 5. (D + 3D² + 3D + 2)y = 0 6. (D3-4D2 + 7D)y = 0 7. (D + D)y = 0 %3D

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Q: Find the solution of BVP 2. Uxy = 4xy+ex ; uy (0,y) = y, u(x,0) = 2

A: uxy=4xy+ex uy0 ,y =y u(x,0) = 2 To find solution of given differential equation

Q: 3. Find a second solution to y" – 25y = 0, given one solution y1(x) = e5z. %3D %3D

A: Given differential equation is y''-25y=0 &amp; y1x=e5x be one solution of the differential equation.…

Q: 'ind the general solution of d³y 6. dr3 dy - 8y = 21e2 dr dr2

A: