10. If µ(x, y) of the the DE. x" y" is an integrating factor (12 + 5ху)dx + (6х у-1 + 3х?)dy %3D0 Then, the values of n and m are O n = 3, m = -1 O n = 3, т %3D 2 O n = = -3, m = 2 O n = -1, m = 2 O n = 3, m = -2 O n = -2, m = -1 O n = -3, m = -2 O n = 9 , m = 5

Q: y= cosV1- x y' = V1-x² ² y' = 2v1- x² y' = 2va- x2 y' = Vx-x* 1 y' = 2Vx-x2

A:

Q: What is an integrating factor of the nonexact DE dy/dx = 1/(2xy) -2y 2y e^(y^2) e^(-y^2) O NA

A: We have to find

Q: 2 The derivative of y = 3x? 3 + 3x is 2x 3 A. y =** 2 2 3 x° + x´ +3 3 4 4 В. у B. y' = +3 2x2 + 3x…

A: Derivative.

Q: The integrating factor of xdy + ((3x + 1)y – xe-2*)dx = 0 is %3D O a. xe* O b. 3xe* O c.x'e* O d.…

A: given :

Q: E.X; Let T = {E₁ = (-∞,a): a = R}U{R,Ø} be a topology on R and let A = [2,3), B=(3,4), C = (1,5], D…

A: It is given that,  T = Ea=-∞, a : a∈ℝ∪ℝ, ∅ is a topology on ℝ. We have to find the closure of the…

Q: 10 12 14 10 12 14 (b) Calculate dB at t = 2. dt 64 dollars per month (c) Explain what the number you…

A:

Q: This is a linear DE. If arranged to its form, what is the integrating factor? * (X^ 12y) ch -xdy = 0…

A:

Q: (с)(2у) dx + (6x3— ху — х)dy 3D0

A:

Q: 3. x'= -2tx + y, y'= 3x-y

A:

Q: Let h(x) where f(x) = In(3x² + 2x + 2) and g(x) = -2x. What is h'(x)?

A:

Q: The integrating factor of the given DE are already given below. What is the value of "n"…

A:

Q: (4xy+5y)dx+(4x² +15xy-12y)dy=0. Use two methods.

A: Note: according to our guidelines we can answer only first question because there are multiple…

Q: 14. (D - 3D² - 6D + 8) y 3.x = xe

A:

Q: find a particular solution to: y''+5y'+4y=8te^(2t)

A:

Q: aN) 1 dx ) M 5 ду y

A:

Q: y" – y' – 6y = 1 1tex

A:

Q: 6) а. Find dx if y%3 (n(x + Aj) - А2 х) (/5 В, - 7х) А131 A2=5 В1-4 B2=6 В3-2 DA-1

A: The given function is y = [ln (x + A1) – A2 x] (√5B1 – 7x). The given values are A1 = 1, A2 = 5 and…

Q: y₁' = -3y₁ - 4y2 +5et y2' = 5y1 + 6y2-6e¹ dan diketahui yı(0) = 19, dan y2(0) = -23,

A:

Q: (iї) Зx' — 6х %3Dsin2t x(0) = 1 (iv) у" + 6у' + 13у %3D 0 У (0) %3 3, у'(0) 3 7

A: We have to find first complementary function and   particular integral and then add them, that will…

Q: differentiate H with respect to G H-3e20G Select one: O a. H' = 60e 20G - 3/5G^(4/3) Ob. H' =…

A:

Q: +1) xe' dy + dx 0. y

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: ( 2x – 3y + 1)dx – (3x + 5y – 6)dy = 0 %3D O 2x² – 5y² = 6xy = 2x + 12y = C O 2x² - 5y² - 6xy – 2x +…

A:

Q: b) xy'+ 2y = 3x

A:

Q: Q4:Min z' = 29 yı+ 45 y2 subject to 2y1+ 8y2 > 60, 4y1+ 4y2 2 60, yı 2 0, y2 2 0.

A:

Q: 3 + .2 J(u) 4u + '(u) =

A: Given J(u)=(3u+3u2)(4u+4u)

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.