Determine the linear form of the equation: dy xy dx2 + y - 3xy = 5y sin x | dx

Q: dy Determine dx in terms of x and y for the equation x + xy2 – y = 3.

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Q: d²y If y=cos 4xr, then at x = 0 dx?

A: Given,     y=cos4x

Q: Express æ = 3t, y = tan-'(t4 + e') in the form y = f(x) by eliminating the parameter.

A: Given : x = 3ty = tan-1t4+et

Q: find dy/dx y = esqrt(x)          and        y = xe-x

A: Given y=ex y=xe-x

Q: For the equation given below, evaluate at the point (1, 2). dy dx 3e*y 5x y + 15.2. - dy at (1, 2)…

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Q: dy c) Hence find the solution when x = 0, y = 0 and 1. dx

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Q: Find y". y = ex sin x y" =D %3D

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: dy Given the equation x + xy + y =19. Find- dx %3D

A: We have to find

Q: f x-2Cost, y= 2 Sint find dy and ☆ d'y at t- dx2

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Q: Find the dy/dx: Given 2x x+1 y =

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Q: Given the functions x = 3t² + 4t and y d²y = sin 2t, find dx?

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Q: Classify the equation as separable, linear, both, or neither.

A: To classify: The equation as separable, linear, both or neither. Given: The differential equation is…

Q: Find for x2 +y? = 169 at the point dx %3D (-5, 12).

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Q: sec?xsec'y dx dy .2

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Q: dy b) Find given y = sin vx dx

A: Consider the following equation: y=sinx Differentiating y with respect to x: dydx=ddxsinx Apply the…

Q: Classify the equation as separable, linear, both, or neither.

A: ydydx=2x+y

Q: Find dy for the following equation. =x/ .3 y =xV 13-x dy =dx %3D

A: Given, y=x13-x3

Q: Let y = y(x) be implicitly defined by the equation x = 7xy+ 5 In(y). || dy dx

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Q: Classify the equation as separable, linear, both, or neither.

A: Given that: dydx+y2=xy2

Q: x? 3xy +y?=19 what s the dy at point

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: dy b) If y = sec (sint), and t = Vx + 4 find dx

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Q: dy Find y where = y²e" and the y-intercept is 1 dx

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

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Q: find the equation of y where dy/dx = 3x + 5 and y= 6 when x = 0

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Q: dy Find dx 3, y= /x sec x+8

A: Given: y=x3sec x+8  (i) To find: dydx

Q: dy Find dx given that +y - 5y– x² = - 4.

A: Given,            y3+y2-5y-x2=-4

Q: dy/dx + x®y = x®y?

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Q: Put the Attached equation in standard form

A: we have to put the given equation in standard form.xdydx=x2+3y   , x>0

Q: (бх + у?)dx + (2ху — Зу?)dy %3D 0 уз 3.

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Q: хdу — dy %3D (3x? — 3х)dx — ydx

A: The solution is given as

Q: For the equation, y(x+y+1)dx + x(x+3y+2)dy = 0, what is dM/dy - dN/dx?

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Q: nd a diferential equation of y= Cix t Ca 2 (2xpY sin y t + 2y tan x) d.

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Q: For the equation, find  dy/dx  evaluated at the given values. x2y + y2x = 0  at  x = −2, y = 2

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Q: The µ(x) that converts the equation below into an exact equation x dy (x*ev ++ (2x²e" + 1) = 0 y) dx…

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Q: y dx — (х + бу?) dy %3D 0

A: Exact differential equation: The equation P (x,y) dx + Q (x,y) dy = 0 is an exact differential…

Q: For the equation below, find dy/dx. 3x3y2 - 2x2y = 5. dy/dx=?

A: Given equation is  3(x^3)(y^2) - 2(x^2)y = 5.

Q: dy If x=sin y, find the value of at the point dx 2 3

A: Since we have been given that x=sin y -(i) and our aim is to find the value of dydx at the point…

Q: Find dy/dx given the equation xy+ y = 2.

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Q: For the equation given below, evaluate at the point (1, ). dx y - 8 х — 4y dy at (1, ) = dx

A: Given: yx-4y=x6-8 To Find: dydx at 1,727

Q: What is g(In2)

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Find the value of d²y/dx² at the point defined by the given value of t. x = sint, y = 7 sint,t=4 14…

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Q: Use the substitution Y(*)= x* · u(x }to convert the equation 2 d²y dy +ax- +(1+x°x* )y = 0 2..2 dx?…

A: The differential equation is given as x2d2ydx2+αxdydx+(1+k2x2)y=0let y(x)=x-λu(x) To find the…

Q: Use Bernoulli's Equation xdy/dx+y=xy3

A: We have to solve

Q: Use this equation to find dy/dx. 8y cos(x) = x2 + y2 dy dx II

A: Given  8y cos(x)=x2+y2We find dydx

Q: cos(x + y) y(0) dx %3D

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Q: dy 2 ,? cosx +-y = -x²y dx %3D

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Q: equation in just x and y dx at t = T/3.

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