4. Suppose y satisfies the equation = 3y. Also when x=0, y=0, then which of the followings dx can be expressed as the equation of y. (show your detailed work to get full points) a. y = 2e-3x b. y = 2e3x c. y = 3e¬3x – 1 d. y = 3eex – x

Q: Q3/ Solve the following equations: 1- х(2у — 3)dx + (x2 + 1)dy %3D0 dy 2- dx 4y x (у-3) 3. y' = 2xy…

A: Note that there are so many ways to write the final answer of the differential equation.

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A: The given equation is; x(y2+1)dx + (1+x2)dy =0

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A: Given differential equation is y9x-2ydx-x6x-ydy=0 and y1=1 Given differential can be written as:…

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Q: Find the complete solution to the following diff. equation y ( x2 + y2 -1 ) dx + x (x2 + y2 +1 ) dy…

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Q: 47. Solve for the general solution of (5x+3y-4) dx+(x+y-2) dy=0. a. 5x2 + 4xy + y? = C b. 4x? + 5xy…

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Q: dy 1-The general solution of the diff. equation dx is: A- C- not of the above 2- The homogenous…

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

Q: 10. The following equations are exact except a. (2xy – y)dx + (x? -x)dy = 0 b. 2xydx + (y? + х?)dy…

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Q: 10 Find E [Y] = È E [Y|X = a] px (a)- %3D a-1

A: Mean of a Geo(p) distribution is given by, 1p Here it is given that,  Y|X=x ~ Geo(x10) Therefore…

Q: y'=loga (Zy -4y +5) %3D by U =Zx-4y +5 7(2)

A: If we want to change the variable of the differential equation for find solution easily from…

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Q: 1.) (2x + y + 6) dx + (2x + y) dy = 0

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Q: Find the general solution of the given Attached equation

A: Given: differential equation, To solve the differential equation first, substitute

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Q: The h$(2x) sech (2x) dx is equal to sech (2x) sech (2x) +C. A. 1 3 10 B. None of the choices in the…

A: Solve the following

Q: (9cosx+y°cosx) dx +2ysinx dy = 0, y(5)= -4 the value of the constant (c) of this D.E will be:

A: Solution is written in below steps.

Q: Obtain the general solution to the equation. dy_y dx + 4x + 9 X The general solution is y(x) =…

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Q: d . Suppose r and y are variables that satisfy the equation r? – y3 = 12. What is dx dy 4x3 dx¯3y…

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Q: 4. x - 2 dy 26. If y = find at x = 1. 2x - 1 dx (A) -52 (В) -28 (C) 13 (D) 52

A: Find the derivative as follows: y'=ddxx3-22x5-14   =4x3-22x5-13ddxx3-22x5-1…

Q: Differentiate implicitly to find dy/dx. 15. х2 + 2ху Зу? 16. 2xy + 3 = 0 17. x2 - y = 16 18. x² + y?…

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

Q: Solve the following DE. 13. (5x + 3 e) dx + 2x e' dy = 0. 14. (3x + y-2) dx + (3x +y+4) dy = 0. 15.…

A: Given that: (5x+3ey)dx+2xeydy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: 7. If x + 3y'/3 = y, what is dy at the point (2, 8) ? dx 1 4 (A) = (B) 5 (C) - (D) 3 3 4 3/4

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Q: Q3 The length of a curve from (0 ,-3) to ( 3,3)is given by Vx4 – 2x2 + 2 dx Which of the following…

A: Length of curve

Q: / Find G.S for following D.E (4x- 2y + 2) dx - (2x - 4y+ 2) dy = 0

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: d² y If ax? dx? 3. Find + 2 hxy + by = 1, h? - ab Ans. (hx + by)

A: So in this we have to differentiate twice. I'm providing hand written solution.

Q: If ey 9 dy 3x and y(1) = 2, then the particular solution y(x) is %3D dx

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Q: Obtain the general solution to the equation. dy y + 2x + 1 dx X The general solution is y(x)=,…

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Q: 22/ Solve two of the following D.E- dy + 4 +4y =0 A) dy B) di+2d3 - 3y=6 undetermined coeff.]

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Q: d²y dy +4 dx² + 4y = 0, when x = 0, y = 1, y' = -1 dx

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Q: H.W. Solve 1- xdy - 3ydx = x*y"'dx 2- (2xy? - 2y)dx + (3x²y- 4x)dy = 0 3- ly*(x+ 1) + yldx + |2xy +…

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: 10. The following equations are exact except (2xy – y)dx + (x² – x)dy = 0 b. 2xydx + (y? +x² )dy = 0…

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Q: 9. Obtain the general solution to the equation. (X² +36) dy + xy = 7x, y(0) = 2 dx

A: To obtain: The general solution to the equation X2+36dydX+Xy=7X, y0=2

Q: 1. (2+ye*y)dx+(xe*y-2y)dy-0 ans: c=2x+e*y_y?

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: S.2 „Determine whether the equation (3x + 2y)dx + (2x + y)dy = 0 is exact. Find the solution if it…

A: Given that  (3x+2y)dx+(2x+y)dy=0 To determine the general solution

Q: 2. The length of a curve from x =1 to x = 4 is given by V1+9x* dx. If the curve contains the point…

A: For              y=f(x)        , a≤x≤blength of the curve= ∫ab1+dy2dx2.dxor arc length…

Q: 1. If = 2xy, and y(- 1) = 2, find y(2). dx 3 А. 4e 3 В. — 4е' C. 3 С. 2 2 D. 5 E. - 4

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Q: Obtain the general solution to the equation. dy y dx X + 9x + 7 The general solution is y(x)=,…

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Q: What is the general solution to the following equation: (dy/dx)= (y/x)+6x+1

A: Compare the given differential equation with standard form and calculate the integrating factor (IF)…

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Q: The solution of the equation dy + x(3y+ 8y )dx = 0 is O a y = (+ ce e)/2 8 6z 3 Oby= (금+ce t)4 O c.y…

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Q: If x = 1? +3 & y = t³ -t² then dy - at t = 2 is dx a) 1 b) 2 c) -2 d) 3

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Q: What is the value of the arbitrary constant of the given DE (3x + 2y + 7)dx + (2x – y)dy = 0 at…

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Q: Н.W. Solve 1- xdy – 3ydx = x*y-!dx 2- (2xy2 – 2y)dx + (3x²y – 4x)dy = 0 3- [y?(x + 1) + y]dx + [2xy…

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

Q: 11. Find if x? +у? %— ху. dy dx A. y'= x-2y 2x-y y+2x B. y'= Y x-2y C. y'= Y-2x 2y-x c y'= 2y+x x+2y…

A: The given function,  x2+y2=xy

Q: II ΑAAΑΑΑ Α Α Α Α Α dy 6. If y = x (e* – 1), then dx (A) 2xe* (B) 2xe* – 2x - (C) x'e* + 2xe* – 2x -…

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Q: Given the equation of y = g(x) satifies dy + (1 – 2x)y = 4x, x > 0, g(1) = 3(e² – 1). dx Solve an…

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Q: 4. y(8x – 9y)dx + 2x(x – 3y)dy = 0 a. 2x*y – 3xy? = C b. 2x*y – 3x²y² = C c.2x*y3 – 3xy? = C d.None…

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