If the substitution m = y - x was applied to the DE: 9 = 1- 3(y – x)°, the resulting DE would be: dx

Q: Given a = 8t – 22 and y = 64 sin t %3D %3D - dy dx d'y %3D da?

A: Let x = 8t - 22 and y = 64sin(t) Differentiate x with respect to t dxdt=ddt(8t-22)=ddt8t-ddt22dxdt=8…

Q: Given x = 8t - 21 and y = 64 sin t dy (i) dx dy (éi) dx?

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

Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is dx

A: let the function is f  first differentiate function f with respect of x df/dx then differentiate…

Q: e* + sin x = 2/xy , find y' %3D

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Q: || (2? + y*) cos(zy) dz dy? R

A: Here the Cartesian coordinates (x,y) are converted into (u,v) by substitution method as xy=u, x2-y2…

Q: Given z = 2t -41 and y=4 sin t %3D dy (i) da dy (ii) da?

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Q: Given f(x,y) = 3x sin(3xy). Find fxy(3,2). Give you answer correct to %3D two decimal places.…

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Q: e = (cos (y)+isin (y)) %3D O صواب İhi O

A: ez = ex+iy = ex (cos(y) + is in(y))

Q: dy 2х %3D (Зу + x)— dx

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Q: Given a = 8t- 39 and y= 64 sin t %3D RA dy %3D dx dy %3D da2

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Q: Given f(x,y) = 3x sin(3xy). Find fx(3,2). Give you answer correct to two %3D decimal places. Answer:

A: Topic:- partial derivatives

Q: 7 Cos X dx e 4 Using the Midpoint Rule, M(50) =| |: %3D

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Q: Given x 13t - 12 and y = 169 sin t %3D %3D dy %3D dx dy dæ?

A: Given that       x = 13t - 12   and   y = 169 sin t Here we have to calculate     dy/dx         and…

Q: dy Find - xp x = t sin(t), y = t? + 4t

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Q: In the given Bernoulli's equation 6y²dx – x(2x³ + y)dy = 0, what is ƒ P,(y)dy?

A: I have appended the formula used in the solution part

Q: NOTE: Enter the exact answer. yz dx dz dy -180 J–120

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Q: y cos y dx dy dz x² +y° y -(7 +2/2 - 4) 16

A: Explanation of the answer is as follows

Q: The equation + dx y = xy can be classified as FOLDE and Bernoulli’s equation. A True False

A: True.

Q: Using the substitutions X = u+2, y=w+2; dx = du, dy= dw, the DE with linear coefficients (x + y-…

A: Using the substitutions X=u+2, y=w+2; dx = du, dy=dw, the DE with linear coefficients (x+y-4) dx +…

Q: Given z = 15 In(t) and y = 225 t then find %3D dy dx d'y dr2

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Q: Given I 87 sin t + 43 and y= 87 cost +30 %3D (i) dt dy (ii) dt dy (iii) dx

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Q: Find ôt And Ow From the equation : ôs 2. .2 x² + y? + z?; x = cos st, y = sin st, z = s?t a w = b w…

A: Please see the answer in Step 2

Q: snip

A: To transform the equation Ax2+Bxy+Cy2+Dx+Ey+F=0,  B≠0 into one in x'and y' without an x'y'- term,…

Q: The point of intersection when the coefficients of dx/dy are equated to zero of the given DE:…

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Q: Given z = 6t - 45 and y = 36 sin t dy dr dy dz?

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Q: Given y − x cos y = 7, find dy dx

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Q: Given [2r + y cos(ry)] dx +r cos(ry)dy 0. Show that the equation is exact and find its solution.

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Q: ds 1 s tan =cSC dt 2 2 2

A: We will find out the required general solution.

Q: . Solve the given equation by simple substitution. (2x + y)² dx - 2dy = 0 O x + Arc tan 2x+y = C 2 O…

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Q: If y = e then y – y' + e*y is equal to %3D eet

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

Q: For x dx, given that y(1)= -1, then the solution is \dots O y =+2 -= fi O O y=-- 2

A: Option (c) is correct. See the attachment. Send your feedback please.

Q: Given a = 12t - 31 and y 144 sin t %3D dy (*) 12cos(t) %3D da (6) da?

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Q: Given the set of equations dx = y + sin y , y = (z – e²)? Which of the following is dx/dz? The…

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Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is Blank 1 dx

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Q: The point of intersection when the coefficients of dx & dy are equated to zer of the given DDE 『うy」。…

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Q: One of the given equations is x = 5t + 5, so %3D dx dt The other equation is y = 7 - 2t, so dy dt

A: a) Find the differentiation of "x" with respect to "t".

Q: Given r = 15 In(t) and y= 225 t then find dy dx d'y da?

A: Given that x=15lnty=225t2

Q: For y = y(x), solve the ODE y" + 2 sech? (x) ·y = 0, given that y, (x) = tanh(x) is a solution %3D

A: Given ODE is y''+2sech2(x)·y=0.       (1) one solution y1(x)=tanh(x) is known. Let other solution is…

Q: dy y- tan 1-The general solution of the diff. equation is dx x A- B- y = 20 C- not of the above

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Q: Find the particular solution of (xcos? - y) dx + xdy = 0 ; where y and x = 1 - у %3D = - 4

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Q: Given z = 6t 45 and y= 36 sin t %3D dy dx dy da2

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Q: Given * = 11t – 25 and y = 121 sin t %3D - dy (*) da dy (é) da2 ||

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Q: ‏Solve it quickly please

A: dy/dx=(dy/dt)/(dx/dt).

Q: Use the equations to find dz/dx and dz/ay. e? = 8xyz az 1 ax y az 1 %3D ду II

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Q: 8 sin r at the point (, 4). e form y mx + b where

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Q: NOTE: Enter the exact answer. yz dx dz dy = %3D -90

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Q: Given z = (x + y) 5, y = sin 10x, find dz/dx.

A: z=(x+y)5, y=sin 10xTo find  :dzdx

Q: C. Given that y = e* sin x, show that d?y +2y 0

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Q: Given a = 2 cost + 20 and y = 5 sin?t de (6) dt dy (é) dy (é) de ||

A: We have to find the derivative of given functions