Solve the given differential equation by separation of variables. xdx = 2y y =

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A: Using exact equation as given below:

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A: By our policies we are allowed to solve only one question at a time. Kindly repost other problem in…

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Q: Q5) Find dw/dt at the given value foe the following functions 1) w = x² + y², x = cost, y = sint at…

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A: 7. fx=6cotsin4x8. fx=6sec7x29. fx=e6x2-17

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A: Formula ∫ xn dx=(x(n+1))/(n+1) +c

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Q: Determine whether the differential equation (4x² − 2xy + 6) dx + (2y² − x² + 4) dy = 0 is exact. If…

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Q: x dx 2)√√√27+6x-x²

A: Given, ∫ x27+6x-x2dx

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Q: -Expand Fourier series in cosines only defined by: (15 f(x) = π-x, 0<x<T 1 B

A: This question is based on formulaof Fourier Cosine series.

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A: We can solve this as follows:

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Q: 3- 1 له وال * IT X I sintLy, y Ha

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Q: the solution of the given initial value problem. ty' + 2y = sint, y = 7, t > 0

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Q: 2) Find the oneer bounded by x = 3y²-9, x = 0, y = 0, y = 1 a) 8 b) 6 c) 4 d) wone of the above

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Q: Q:3) A) Test the following surface for maxima minima and saddle point: Z=5+xy+x²+2y+3x

A: See this solution in below

Q: answer

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: I am attaching image so that you understand each and every step.

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Q: 3. Choose three vectors: and Use these vectors to verify the associative property.

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