Find dy du du dx dy dx y = 6u² + 3 and _u = x² + 3 I and when y and u are defined as follows.

Q: 4) y = e3r* dy A) 12x dx B) dy 3* . 12x³ = e dx dy 3x e C) dx D) dy „3x* - 1 . 12x = e dx

A: Given below the detailed solution

Q: which of the following is equation is an exact DE? a. (x^2 + 1)dx + xydy = 0 b. xdy + (3x- 2у) dx…

A: which of the following equation is exact DE? (i) x2+1dx+xydy=0 (ii) xdy+3x-2ydx=0 (iii) 2xy…

Q: 1. Evaluate (i) dy dx, 3

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Q: 4X-) dx dy y2 ret -1

A: Given: ∫12∫-10ex2y-4x-1y2dxdy

Q: 1. dy = e3x+2y dx

A: Given dydx = e3x+ 2y

Q: Given 3x²-5y³ = 4x² + y² - 7 find dy dx and d² dx² y at the point

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Q: 5. y-2y+y-6e* d'y dy 6. 2. dx2 +2y e2x d'y dy 7. 2 -2y D4e 3x *

A: 5. givend2y(x)dx2-2dy(x)dx+y(x)=6exThe general solution will be the sum of the complementary…

Q: -2Y dy y°e

A: The given integral is: I=∫y3 e-2y dy

Q: Find dy/dx given xy2 + x²y5 – x³ = 3 %3D -

A: Given that : xy2 + x2 y5 - x3  = 3. Find dy/dx . We know that d(xn)/dx = nxn-1.   Here i attached…

Q: The equation (x*y^2 + x – 2y + 3)dx + (y*x^2)dy = 2(x + y)dy is not exact. a. True b. False

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Q: 경기 Use implicit differentiation to find and 4x2 + 3y2 = 9 dx d²y 2 dx

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Q: Find y in terms of x. dy = x 2 + 5, curve passes through (0, 14) dx x3 A) y = + 5x 3 B y = x3 + 5x +…

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Q: Find / dy dx 174= √² y = √5 +1 and S=16x²= 2√

A: Note:-Since you asked multiple questions, according to our policy we can answer only first the…

Q: Find/ S dy

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Q: 2 Find So (3x2 + 4y³) dy dx.

A: Topic:- double integration

Q: 5-find Аху : xe 12) if f(x, y) = xe

A: First I have mentioned what we have to find then just use the rule of partial derivative find the…

Q: - 3x³)dy – (2y³ – x²y)dx -

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Q: Find dy -, if dx dy dx y = u U³ || - u and u = 4x² + 1.

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Q: Y = 4x²-5 Vsx dy=?

A: We want to find derivative of y, The given expression for y is,               y=4x5-55x

Q: dy Q2) Solve x- 2y = x³ cotan 2x dx

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Q: If (2xy?+4) dx +2 (x*y-3) dy = 0 then ƏP/ay # ƏQ/ax *

A: Given: The equation is, 2xy2+4dx+2x2y-3dy=0 And ∂P∂y≠∂Q∂x To find: Whether it is true or false.…

Q: A) B) dx₁ dt dx₂ dt dx₁ dt dx2 dt dx₁ dt dx₂ Wh = x₁ + 2x₂ + 2x₁.x2 = x₁ + x₂-X1X2 is stable or…

A: Given :           A) dx1dt=x1+2x2+2x1x2    dx2dt=-x1+x2-2x1x2           B) dx1dt=-x1+x2+x12…

Q: 1 6. Find dx. V2x2 –8x+2

A: Solving

Q: Find dw/dr and dw/dΘ for w=2z/y-3x if x=3Θ+2r, y=3r^2 + Θ, and z =4r-Θ, where Θ = 2 and r = 5.

A: w=2zy-3xx=3θ+2r,y=3r2+θ, z =4r-θTo find ∂w∂r and ∂w∂θ for θ=2 and r=5

Q: valuate 1 dz da dy 3x²+3y²

A: The following problem can be solved using the cylindrical coordinates We first convert the x,y,z…

Q: The standard form of 3dy-xydx= 3y³e/3 by Bernoulli's ec 4x/3 dx 3 A dy ху = 3e**/3y3 dx 3 'x=…

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Q: x2 z = *1 - 2xy У

A: