Given f(x, y) = 4x²y then the total differential df %3D O 4xy dx + 4x² dy O 8xy dx + 4x² dy None of these O 8x dx + x² dy O 2æy dx + x² dy

Q: (x²+2x +y) dx +(3x3y-x}dy=o

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Q: (3xy²+2y)dx+(2x²y+x)dy=0

A: Given differential equation is (3xy²+2y)dx+(2x²y+x)dy=0

Q: Find y = sec (5x+2)

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Q: 2.Linean ectuation 4-L4y-3x)dX+5Xdy=o 5.

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Q: Compute dy / dx and d2y / dx2              x 2 - 4y 2 = 8

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: x²V4x +1 dy then dx If y = In (x³ + 5)3

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Q: Find d implicitly 3y³ − 7x³ + 2x = 0 dy dx dy 21x²-2 da y² y = dy dx dy dx = 21x²-2 9y² 9x² - 21x² +…

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Q: Find dx dy dx dy dx dx dy of the function xye' 2xe-x² + y2 2ye-x²+y2 2ye+²+y2 y-2x²y x (2y ²-1) 2xe…

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Q: Find dy if y=33 dx 09x² 3x² 3 3x² 9 음

A: Solution-

Q: Determine C when x=y=0 (xy + x)dæ = (x²y + æ² + y³ + 1)dy

A: Given that xy+xdx=x2y2+y2+x2+1dySolution…

Q: Using the basic formulas and change of variables, integrate the following: 1. S (3x3-1)2 2. Sdx xp*…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2. (2x – 3y +1)dx– (3x+2y-4)dy = 0

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Q: Find d2y/dx2 if x = 3 - 2z and y = z2 - 3z3

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Q: Find dy dx dy if y dx = x³ + 8x + 6 x² - 5

A: Given: y=x3+8x+6x2-5

Q: d Find dx 0.4 - 2 - 3.7x + 8x d 0.4 - 3.7x - 2 + 8x = dx

A: SOLUTION-

Q: Find the differential of y = = sec 4x + csc24r %3D O dz (8sec 4xtan4x- 8csc 4xcot4r)dy %3D O dy =…

A: Explanation of the answer is as follows

Q: 1. = 2 + 3y dx %3D dy 2. dx = 2cos?y dy 3. (y2 + 2) = 5y, given y=1 when x=3 dx dy 4. = xV2x + 1 dx…

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

Q: 3/4y +1 dy 2. Evaluate 0,

A: Given: ∫0234y+1dy Substitute, 4y+1=u dudy=4dy=14du =34∫udu ...........(1)

Q: dy - Find ay for x³ + y²x − 3 = 0

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Q: Let z = 6exv , find dz %3D

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Q: First order linear in (y-x+xycotx)dx+xdy=0

A: The given problem is to find the solution for the given first order linear differential equation.…

Q: - 3-z2-y 2. Evaluate L* L z dz dy dx -5+x²+y²

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Q: Find dy dx dy dx if y = = x³ + 4x + 7 x² + 1

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Q: (3x² + 8x – 12)dx - x3 + 7x² + 12x x² – 12x + 4 dx (x2 — Зх + 2)2 t² + 4t + 10 dt t3 + 2t² + 5t dy 3…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: Find dy/dx of 10x - 18xy2+10y3 = 48 9y-20x 3 (бу? -5ху) dy !! dx 9y-20x dy 3 (буз - 5ху) %3D dx dy…

A: topic - implicit differentiation

Q: JVVy+1-2 dy can be evaluated conveniently if we let x =VVy+1-2 and dy = 4x(x² + 2)dx.

A: Substitution method

Q: 2. (2x + 3y + 1)dx – (4x + 6y – 1)dy = 0 -

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Q: 2xdy - y(x + 1)dx + 6y dx = 0 %3D a. xe*y2 6e* + c b. xe*y 2 = 6e* + c C. xe *y-2 = 6e-* + c С. хе…

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