dy — 2х — сosX + e-2х dx 2 TT 1. Given that and y = 1 when x = 5. Express y completely in 2 terms of x.

Q: The differential of y = (5x-6)e2z has the form | dy = (mx + b)e2# dz %3D Find the values of m and b.…

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Q: Let y = V7 – x. %3D Find the differential dy when a = 4 and dx 0.3 Find the differential dy when x =…

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Q: Let y = e=/5 Find the differential dy when r = 2 and dæ 0.5 Find the differential dy when z = 2 and…

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Q: 20) Let y=7x+5x Then compute dy and Ay for X= -7 and dx =0.4. dy =? and Ay = ? Gounded 6o 4 decimal…

A: Derivative: - The derivative of the function is the equation that we find. The instantaneous rate of…

Q: Find dy/dæ in terms of t if x =t – t°, y = 2+ 4t dy/dx =

A: The differentiation of parametric form of functions can be done by using the formula,

Q: Let y 3x?. Find the change in y, Ay when x = 2 and Ax = 0.4 Find the differential dy when x 2 and dx…

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Q: How would you verify that the following equation is not exact?(-xysin(x)+2ycos(x))dx + 2xcos(x)dy =…

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Q: Let y = V7- x. Find the differential dy when a = 4 and dx 0.3 -0.0866 %3D %3D Find the differential…

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Q: Let y = 5a2. Find the change in y, Ay when x = 4 and Ax = 0.4 Find the differential dy when x = 4…

A: ∆y = 5(x + ∆x)^2 - 5x^2= 5(x^2 + 2x∆x + ∆x^2) - 5x^2= 5(2x∆x + ∆x^2)= 10x∆x + 5∆x^2 So when x = 4…

Q: Let y : 2x + 3x +4. Find the differential dy when x = 5 and dæ 0.3 Find the differential dy when x =…

A: Given, y=2x2+3x+4 Differentiating with respect to 'x', we get dydx=ddx2x2+3x+4=2×2x+3×1+0=4x+3…

Q: Use the differential dy to approximate Ay when x changes as indicated. y = V3x – 2; from x = 2 to x…

A: Topic - approximation Using derivatives

Q: find dy/dx in terms of x and y if (x-a)^4+y^4=a^4. Assume "a" is a constant dy/dx=?

A: Given: (x-a)^4+y^4=a^4

Q: Let y = 5x² + 5x + 3. Find the differential dy when x = 1 and dx = 0.1 %D %3D Find the differential…

A: Topic = Derivative

Q: Solve for the given DE: y(y^3-x)dx+x(y^3+x)dy=0

A: first we will check this is exact or not this is not exact then we will find its integrating factor…

Q: Let y = 2x². Find the change in y, Ay when I = 4 and Ar 0.1 Sesse Find the differential dy when = 4…

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Q: Solve (1+x ) = x²y, given that x=1 when y = 2 dx Find the particular solution for y in terms of x.…

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Q: Let w = 4e" dx /A dy + aeª dx ^ dz and n = 7e*Y dx + 8e² dy + eY dz, where a E R. Find the value of…

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Q: Given dy dy +2- dx + 5y = e and y(0) = 0 and = 0 find the value of y(0.1) and y'(0.1) using the %3D…

A: Hi! You have posted multiple questions. As per norms, we will be solving only one question. We will…

Q: Let y = 4/T. Find the change in y, Ay when a 3 and Ar Find the differential dy when x 3 and dx 0.2

A: fx=4x here x=3 f3=43 . Δx=0.2 fx+Δx=4x+Δx f3+0.2=43+0.2 f3.2=43.2 . Δy=f3.2-f3 Δy=43.2-43…

Q: Exact DE se: he particular solution of (x + y)dx + (x – y)dy = 0 when x = 1 & y = 1.

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Q: Solve the following DE by using appropriate substitution. Evaluate y(x) explicitly. an dy Jy – 5x +…

A: Consider the provided differential equation, dydx=y-5x+4+5 Solve the provided Differential equation.…

Q: choose the correct answer If y = t^2/(t^2+1) and t= √(2x+1) the dy/dx =

A: Given, y = t2t2+1   and  t = 2x+1 We have to find dydx.

Q: Let y = (x² + 3)5. %3D Find the differential dy when x = 5 and dæ 0.4 Find the differential dy when…

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Q: (b) Given that y(6x +1) e** = 1+ - In dy Find when x 0 and y=1. dx

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Q: Let y = 4x. %3D Find the change in y, Ay when x = 5 and Ar = 0.4 Find the differential dy when x = 5…

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

Q: If the new DE is written in the form M(x, y) dx + N(x, y) dy = 0, one has My = || N, = X, Since M,…

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Q: QA1 (a) Given that y = (3+4x²)° +10sin(5x) determine dx dy

A: The solution is given below  Please post separately

Q: E valauate the JJ x +2xy +ydy dx when step size of x-0.2 and step size of use the Trapazaidal Rale…

A: given I=∫01∫02x2+2xy+y2dydx with  h=0.2 let x0=0.2 , y0=0.5 let fx,y=x2+2xy+y2 substituting the…

Q: dy is equal to- dx If y = !, then the value of +3 V1 +y* V1+x

A: Introduction :

Q: Let y = 3Ja. Find the change in y, Ay when x = 3 and Ar 0.2 %3D Find the differential dy when x = 3…

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Q: Find the solution of the following ODE: dy y + 1+x2 0, y(0) = 1 1- %3D dx

A: Apologies. We only answer one question at a time. We will answer question 1 as the exact one wasn't…

Q: Let y = (x² + 3)5 Find the differential dy when a= 5 and dr 0.4 40265318400 Find the differential dy…

A: Solve the given

Q: (a) Find the differential dy of y= /4+ 5x. (b) Evaluate dy for æ = 0, dx = .04. (a) dy dx (b) dy =

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Q: Given x = 8 In(t) and y = 64 t² then find dy %3| dx d²y %3D dx? ||

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Q: Let y = (x² + 3)². Find the differential dy when x = 5 and da = 0.2 Find the differential dy when x…

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Q: dy -for the each of the following : dx 3. Find 1-3x (a) y = 1- sinx -X (b) y = u°+In(4u), where u =…

A: We have to solve given problem:

Q: H.w2: evaluate 0.5 0.5 sinxy dx dy, using the Ax = Ay = 0.25 1+xy

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Q: Find 3 for 2 = In (xº dx Provide your answer below: +y¹).

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V3x – 2; from x = 2 to x…

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Q: Q2 Find (d y/d x)& (dy/dx?) y 1/ cos xy ex %3D

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Q: Using dy = 3 dx and dx = 0.03, what is dy when x = 2? 2V3X – 2 dy = i (Write as an exact decimal.)

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Q: Using dy = 3 dx and dx = 0.03, what is dy when x = 2? 2V3X – 2 dy (Write as an exact decimal.) %D

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Q: Let y = 2x². Find the change in y, Ay when x = 4 and Ax = 0.2 Find the differential dy when x = 4…

A: It is provided that y=2x2. We need to determine ∆y for x=4, ∆x=0.2 and We need to determine dy for…

Q: 56. Given that x+y - xy and that y dx dy when x 1 show that xy = e*

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Let y = 3a?. Find the change in y, Ay when x = 1 and Ax = 0.3 Find the differential dy when x = 1…

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Q: Let @ = 7e* dx ^ dy + ae³ dx ^ dz and n = 7e*y dx + 14e* dy+ e³ dz, where a E R. Find the value of a…

A: Given: 2-form, ω=7exdx∧dy+αeydx∧dz. 1-form, η=7exydx+14exdy+eydz.  where α∈ℝ. To find: The value…

Q: If we have to check the DE (5-8y+4xy)dx = (x+2)²dy for Exact then My

A: M dx + N dy =0