y'(y-1)d(x-y)-(x- y)dy' y2(x- y)² +(1– y')² y'(x- y) arctan tan - 1- y

Q: Find y' at the point (6, 6) where x sin(x? – y²) + 33 = x? – 3.

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Q: (1-x) y'= y?

A: We have to solve the given differential equation

Q: Simplify

A: It is given that,           3y32y22y43.y30 We have to simplify it.

Q: -1 d(sin¬' u) du/dx |u| < 1 ² %3D dx Vi – u

A:

Q: y' : x² + y² sin x

A: We know thatExistence and uniqueness theorem: If f is continuous on an open rectanglethat contains…

Q: (cos y+ ycosx)dx + (sin x –xsin y)dy = o

A:

Q: y= (1+x?)tan x- x? y' = 1 + xtan1-2x y' = 1 + xtan -2x y' = 1 + 2xtan 1-2x y' 1 + 2xtan -2x y'…

A: In this question we are required to calculate the derivative of the function.

Q: find y'. (show all the steps please) cos(xy) = x-y^2

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Q: Y"-2y'+2y=e^2x(cosx-3sin) by using variable coefficients

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Q: dx S (x² – 6x + 13)² 4.

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Q: y = cos“ x, Find dy/dx O dy = - sin(x*) O dy = 4 cos3 x sin x dx O dy = - 4 cos x sin x dx O dy = -…

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Q: Find y' and y". (x – y)3 = x – xy + 1

A: Topic :- Derivative

Q: Y"-4y'+5y=e^2x tan x

A: The given differential equation is  Y"-4y'+5y=e^2x tan x

Q: dy – y (xy' -1) .3 2.) dx

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Q: What is dy of x = cos(v)? dx O sin(y) O-sec(y) O-csc(y) O tan(y)

A: Given,.

Q: tan '(z) Find for y = In( - dy dz You do not have to completely simplify!

A: topic - derivatives

Q: Find y' if y=Cos (sinx)

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Q: Find the GS for y""+y"+y' + y = 1−x + e* - COS X

A: Given differential equation y'''+y''+y'+y=1-x+ex-cosx

Q: Calculate y' given y below. (a) xey = y − 1. (b) y = (cos x)^x (c) y =(√sin^3(√2x))

A: a). Differentiate separately both sides of the equation (treat y as a function of…

Q: 1 [In(3x)] S (* -5x+2)e*dx

A: solution is given below

Q: (y)2 1-y2 1- * when x = 1. Answer: Arcsin x Arcsin y = 3

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Q: Solve: y" + y'tanx = (y')²

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Q: Find y' and y". y = cos(x?) y' - -sin (x²) ( 2x) y" =

A: