dy The equation dæ 1+In(xy) is fırts-order linear exact Bernoulli's equation O homogeneous coefficients

Q: [2] Determine homogeneous the roots of the auxiliary equation y=x²-ecosx for a linear equation with…

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Q: 2 x+1 2) Evaluate f,“ dx using the substitution u 3 Зх — 2 V3x-2 3) Evaluate f2 e cosx dx

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Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy4 + 2y)dx + (2y³ + 2x²y +…

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Q: ven the bivariate data: 2. 3. 5 y 6. 8. 7. 1. Draw a scatter diagram for the data. 40 Grap 8 Afte…

A: Given data is X 1 2 3 5 6 y 9 8 7 3 1   Scatter diagram for the data is

Q: d the values of az/ax and öz/ay at the point z - xy + yz + y' - 2 = 0, (1, 1, 1)

A: Given that  z^3-xy+yz+y^3-2=0 To find the partial derivatives at point (1,1,1)

Q: Find the linearization of the function a) z = cos(sin y – x); at (-2,0) and use it to approximate…

A: Suppose f(x,y) be a differentiable function at (a,b). Then linearization of f(x,y) at (a,b) is given…

Q: A. First-order homogeneous equation: (xe + y) dx- xdy 0 B. First-order linear equation: x cos x 2y…

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Q: Q.2 Find DivF and curlF at point (1,2) , where f(x, y) = xy² + Inxy

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Q: Let f(x, y, z): = x² - tany² 2xyz Solve for fry

A: Given :fx,y,z=x2-tany22xyz To find fzxy

Q: FTnd the General/Practical solution FoT +he Following DTFFerentiat equation. {x-9x? + 16x - 144)y?dy…

A: The differential equation is given as x3-9x2+16x-144y2dy=2x2-1e4ydx find the general solution.

Q: Transient Orifice Flow: Water is discharged from a reservoir through a long pipe as shown. By…

A: Given vt2gh=tanht2L2gh and  t=2.5 seconds  v(t)=3 m/s g=9.81 m/s^2 L=1.5 meters

Q: lf f(z, y) = 5ery + 1 sín (inr + y) + 2r + 3y, find-a-,-,-and

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Q: Which of these differentials is exact? (only one of them is exact) (1 – 2xy)dx + (x² + y²) dy O (22…

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Q: Sa J (1+ In² sin x)5 “ cot x In sin x dx

A: Let the given integral be y - y = ∫cotx lnsinx1+ln2sinx5 dx           ..............(1)Let,u =…

Q: Find the differential dy of the function y = 4x²-x+ 3 Select one: O a. (8x-1)dx O b. (x²-x² + 3x) dx…

A: Solve for the differentiation

Q: Let w = iz2-4z+3i. find (a) Δw, (b) dw, (c) Δw-dw at the point z=2i

A: Consider the provided question, (a)

Q: y=t√y (0) Determine if the has erential equation a unique solis

A: Yes, this differential equation has unique solution Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the general equation of the orthogonal trajectories of the curves for the given equations. The…

A: The given equation of the curve is y=ccosxTo find general equation of the orthogonal trajectory