O. In question number 19. what is its particular solution? D2 - D- 2)y =1- 2x – 9e-*

Q: Which of the following is a particular solution of the equation y"+y'+7y=4cos2x? O a.…

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Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: Let y(x) be the solution for the DE: y = (x + y-1)? If y(0)– 1, then find y() 3元 O 2+7 O8-7 O 2-7

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Q: xarctanydx + dy = 0 2(1+ y²)

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Q: In which form should we look for the particular solution of: Y” + y = x3cos(x)

A: Let y=yc+yp be the general solution, where yc is complementary function and yp is particular…

Q: 4. 5 Show that if y%= x+4 then dx (x+4)** %3D %3D 16. dx. 2 (x+4)² **n Hence, find the value of|

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Q: Which of the following is a solution to xy" + y' = 0 ? y = = 1 y = x3-x O A y = In x %| O D В

A: A function y = f(x) is said to be solution of the given equation  xy" + y' = 0  ...(1) if  y = f(x)…

Q: 1-y² L In (r* + y? +

A: Introduction: The process of determining the area of the region under the curve is known as…

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Q: 2 X- - SS. T dydx

A: ∫1-1∫0x2-1dy dxWe need to evaluate the above double integral.

Q: Solve (x² + 4)y' = 2xy In|x] = In(y? + 4) +C O Option 1 Inlyl = In(x² + 4) +C

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Q: solve the following different ia l e fuation 2x(1-x) y" +(1-x) y' + 3y = 0

A: Given: 2x1-xy''+1-xy'+3y=0 To solve the given differential equation. Since the posted question has…

Q: Solve a & b with given A[r = 3x şax+ (y + z + 3) Ay +(6x - z³) a₂] where: np = ax + 4ay - 2az 2+y³

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Q: Find a particular solution of (8) y′′′−4y′=t+3cost+e−2t.

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Q: What is the particular solution for y′=6e^x+x^2−7x such that y(0)=6?

A: Given problem:- y'= 6ex+x2-7x  Particular solution for given differential equation when y(0) =6

Q: Find the general solution of the differencial : (o²-9)y equatión ex + Sin 3x

A: To find the general solution of the differential equation

Q: If y = e2t is a solution to y" – 5y' + ay=0 then a=

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Q: 1. 3(3x² + y²)dx – 2xydy = 0 -

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Q: If x, y belongs to Z prove that the equation x^2+4x-8y=11 has no solution

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Q: the value of lambda such that y=e^lambda*x is a solution of y''x-4y'+20=0 as: could you help me…

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Q: 1 (x² + xy - y²)dx + (x² - 2xy) dy = 0

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Q: d) solve to 1l o wing equan on. the differenti al 2 dy 3y = 3 n2 + 5 %3D

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Q: Find the complete solution of the DE (D3+6D2+11D+6)y=ex +cosx.

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Q: VP 25) de ta sin(p) dp p+1 dp (-2) --1760 de 16 dpl- dp-a anique solution defined on the interval

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Q: dP to find the solution to the problem dt K 7. Use P = 4P Р() — 4. 1 - 1+ Ce-at 20

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Q: Choose the correct answer and show detailed and complete solution. Critical point of y = x² In x %3D…

A: To find the critical point for the given equation of y= x2 ln x

Q: Assuming that a DE has a general solution a+y= 3r +C, what is the particular solution at given the…

A: The given differential equation has a general solution is x+y=3x+C. Calculate the particular…

Q: Find a particular solution to y″+36y = 60sin(6t).

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Q: a) Give a particular solution for y" – 2y' + y = 3e*. %3D

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Q: 4. Assume y(x) : = ea" cosBx is one of the solutions of the DE у3) — Зу" + 7у - 5у —D 0. Then a + B…

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Q: 7. If DE = 11x + 15 and FG = 32x- 27, find DE. %3D D E

A: We are authorized to solve only 1 question, please repost remaining questions Circle property

Q: y" – 4y' + 8y = x², y(0) = 2, y'(0) = 4

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Q: y = 3 (y + 1)

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Q: 28. IfI:zxzr = 0, ris a. positive b. negative с. zero d. impossible to determine from the…

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

Q: Show that the equation 2³ + 3y3 = 923 has no solution in integers, other than x = y = z = 0.

A: Suppose that, x3+3y3=9z2 has a non-trivial solution, that is other than (0,0,0), and minimal.

Q: Give the general solution to -y + 2 ху a) Os = + Cx² b) Oy =x+Cx? c) Oy = 7x o or - d) Oyl x² + Cx-…

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Q: Which of the following is not a solution to d'y dr? 4y +1 -2z O y = e2 + e O y = e2 . -2x e - 1 O y=…

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Q: Please see the attached problem. Thanks!

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Q: Suppose ay" + by' + cy = 0 with y(0) = d and y'(0) = k has a general solution y = 4e2 3. What are…

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Q: b) Give a particular solution for y" – 2y' + y = et - 1+x2

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Q: . If 4=(x+2y+az, bx-3y-z,4x+cy+22) is irrotational. Find constant a,b,

A: Follow the procedure given below.

Q: 5 solve the 1UP: y% 4y(2)+ 3y'= Y1)=e+ % ,uG) = et %

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Q: x2 1 dr dy = a° In(1+ x² + y? 3

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Q: 8. Obtain the particular Solution by satisfying the conditions indicated. y' = x exp (y - x²); when…

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Q: Find the general solution of the following DE. y' = 3 (y + 1)

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Q: The solution of e = -has the form x + i (y + 2nn) where n is an integer. What is the value of x?…

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Q: 6., Given that= 1' + sy = ) and that y = 1 dr (a) show that for values of r close to 0, 1 when = 0,…

A: Let y(x) is a function. Then the expansion of Taylor series of the function y(x) at the point x=a…

Q: The general solution of the DE y" + 4y' = 0 where y(0) =1 and y'(0) = 8 is O None of these OF y = 3…

A: OPTION (b) IS CORRECT. THE GENERAL SOLUTION IS  y= 3-2e-4x