3. Describe whether the first order type: Linear or Exact and then solve to find the general solution using appropriate method. (a) [2x + y cos(4xy)]dx + [x cos(4.xy) – 2y]dy = 0 %3D (b)x² + 1) +xy x:

Q: [2x + y cos(xy)]dx + [2y + x cos(xy)]dy

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Q: 3. Verify that ysin x-xy =0 is a solution of the equation y(cosx-y)dr+(sin x- 2xy)dy =0.

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Q: I. Write down the form of the particular solution for the g(x). y" +p(x)y' + q(x)y = g(x) 1. g(x) =…

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Q: 2. Find an integrating factor and solve the given equation: 2 (cus² y. cus 2y - x) dy - sin 2ydx =…

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Q: D7. Determine the oscillation of "-tx² + x = 0.

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Q: f (x) = 5.6 sin (2.6x – 4.2) – 9.1- What is the equation of the midline of the function %3D o y =…

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Q: Cos (x) +ry =4 %3D

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Q: The solution is the fünction y=x' F+= ex* -x? H.W: Solve the following equations 1- x2+3y = x2 2-…

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Q: tan(r) y" + ?V + y =

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Q: -2 dx J-1 (x² – x + 1) (3x – 2)

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Q: 21. Solve the equation y' = (x²+ 7) / 9 (2x / 9) + c b. y = (x / 18) + c 22. Solve the equation y' =…

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Q: Find if y%3D cos (2x)+ 2еж: dx dy

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Q: f(x) = f(x + k) %3D f(M) = cos()

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Q: x2 dy dx2 d²y dy + 2y = 5x° cos(x) 2x Jx - dr solve the equation by undetermined coefficients method

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Q: Solve the following D.Es: 1. (x + 1) = x(y² + 1).

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

Q: - y = 1 Solve %3D O a. y = tan(x + k) O b. y = sin(x + k) O c. y = cos(x + k) O d. y = e + k

A: Explanation of the answer is as follows

Q: dr. r²VI+a 17 Please present the the results of the main steps of your solution in a table similar…

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Q: Solve the D.E dy -(2x /1-y2)dx = 0

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Q: y=−2+4sin(x2−π) sketch

A: We have to draw

Q: ly 3)[e^(-2y)]dy

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Q: Determine the derivative -d/dv y = 2x³ + 5x - 6 y 1 x² 3x 6x³ + x² − 10x − 3 -

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Q: (x² + y sin(xy))dx + x sin(ry)dy = 0. %3D

A: Given equation is exact. Answer is x3 /3 -cos(xy) =c

Q: Solve the DE. 2x²y' + 5xy – 35y = 0 — 0

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