10 Find the value of the double integral (1) (2) (3) : 4 3 [²² ²³e4º dydz 3 4x y (1) 3 -2 Jy (2) e 3 (3) S xydxdy x - Y dxdy

Q: dy 2. (a) Determine in terms of x and y given that dx i. x²y + 3xy3 – x = 3 ii. sin(x? y?) = x (b)…

A: Let's find.

Q: Find formulas for dy and Ay if y = x² - 2x + 1. dy =

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Q: (x² + y² ) dx – xydy = 0 O 2y = x In cx² O y? = x² In cx²

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Q: If y = exp(-x²) show that -2xy and hence prove that, for n > 1, %3D y(n+1) + 2xy(") + 2ny("-1) = 0.…

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Q: s [5xt° 1 7 + 1-9х 13) dx e6x+5 + 4 sin(8x + - - - 5 2 Vx3

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Q: #1. Evaluate the iterated integrals (a) || (6x?y+4x - y) dx dy -2 (b) y2 x²y dxdy

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Q: 1 -1 √1-y² 0 X [Q² + y 0 (x² + y²) dz dx dy

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Q: 0 3 Evaluate the iterated integral (17x+15y + 16)dx dy. -2-3 . %3D 0 3 | | (17x + 15y + 16)dx dy =…

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Q: a. ry dx -4y = x°e*

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Q: Find dy/dx for e 2x + y 2 = sec(2x) in terms of x and y using implicit differentiation

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Q: y3 (b) Solve the integral . (cx – y)dx + (2x + y)dy along the curves x = from (0,0) to (1,1)

A: The given problem is to evaluate the given contour path integral over given path x=y3.

Q: integrate the following ∫(y-2 + 1/2y - 1)dy

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Q: Solve this DE:  1. dy/dx= (x+3y-2)2

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

Q: the general solution for the d.e. (x² + 1)y' +6xy= x is: Select one: a. + cln(x2 + 1) on O b. C. O…

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Q: Given: xe*² + In(x - y) = . Find dy/dx. 2xy(x-1 dy dx 20g/l) ta [1+(v)(22+1} ] x4+x²(x−y) Ody dx…

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Q: Determine the antiderivatives of the following functions: 1. S(x+ 1)100dx 2. S(x²+x)1º(2x + 1)dx 3.…

A: Topic:- application of integration Note:-  as per our guideline if more than three subparts posted…

Q: 4. Find the solution of (x²+6y²)dx – 4xydy=0 when x=1, y=1. Use Substitution Method.

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Q: dy In(5x + 5) Find for y = - dx 3e2x dy dx

A: Given, y=ln(5x+5)3e2x

Q: A B The integrating factor for (2y – xy²)dx − (3x + x²y)dy = 0 is 2xy 1 5xy

A: The given equation is; (2y-xy2)dx-(3x+x2y)=0.

Q: Consider a = (4x³+ yz) dx + xz dy + xy dz. Calculate da and explain its significance to the previous…

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Q: Find the general solution of dy (y2 + 4) In x In(y2 + 4)"* %3D dx

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Q: ression for dy over dx given that (x + y)5 + 2x4 + y2 = 300

A: Given that the equation is                          (x + y)5+2x4 +y2=300.                  To find…

Q: s (x2 + y)dx − xdy =

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Q: 1. 2(2ay+ 4y – 3)dx + (x + 2)²dy = 0

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Q: •3 dx dy (x +4y)3 36.

A: The given integral is ∫01∫231x+4y3dxdy. The order of integration is dxdy. So, first we have to…

Q: Solve (4xy + 3y2 – x)dx + x(x + 2y)dy = 0 with y(2)=2 . Solve (x²D? + xD – 1)y 1+x2 Obtain f(r) as a…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Find the general Solutton of differential CGu aton , 3 t.

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