dy - 12/13 Find the function y(x) satisfying 8x and y( - 1) = - 9. dx

Q: II. Bernoulli's equation: dy 4. dx -2y %3D글x" xy3

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

Q: Solve dy/ dx = x^2 + x for y(1) = 3.

A: Given that dy/dx = x2 + x, where y(1) = 3.

Q: dy yf'(x)-y where f(x) is a given function. Solve dx %3D f(x)

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Q: d²y 2. Find the second derivative, dx² a. x = t² + 1 and y = t³ b. x = - t2 + 2 and y = sin(t+ 1)

A: Let's find.

Q: Find dy/dx for (x+y)3=x3+y3,at the point  (-1,1)

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Q: dy 글-(1 + x)y = xy2 dx

A: We have to solve given problem:

Q: dy_ y² + xy² 8- dx x'y-x

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Q: a) Find dy/dx when y= x²-1/x²+1 y=x³ 10* ii.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: dy + (x + 2)y = 2xe dx 19. (x + 1) X-

A: Given:- x+1dydx+x+2y=2xe-x To find:- General solution of given differential equation

Q: dy =2xy with y(2) = 1. dx Find a function y = f(x) that satisfies

A: To find a function y=f(x) that satisfies dy/dx=2xy with y(2)=1

Q: (x+ x+)dx + By xdy 2. (3x-y-4)dy - (x+y-4) dx a0 1. when XE4, Y=

A: Topic:- differential equations  Note:- as per our guideline if more than one question uploaded than…

Q: dy EX-2- Find for the following functions: dx (x² + x )(x² – x +1) e) y= x² - 1 x² +x- 2 f ) y = -

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Q: Can i get help step by step please?

A: Consider the first function.

Q: dy Q2 Find dx of x = *-Y 2 x+y

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Q: dy 1. Find general solution for =x²y° +2y +x° +2. dx

A: Dear learner,  As per our guidelines we can provide the solution for first one only. Kindly post…

Q: 2х-1 dy if y=f and f'(x)=sinx²,find dx x+1

A: According to chain rule of differentiation if f and g two functions are differentiable and function…

Q: dy for the function y= Find dx (x-1)(x-2)* (x-3)' at @x = 4.

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Q: Find dy/dx for the function. x2 + 8x + y2 – 7y + 1 = 0 dy dx

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Q: dY X 5) Solve: dx Y(3) = 5

A: dy/dx = x/y This is a variable seperable differential equation.

Q: 1- Find for the function yt + xy2 – 2 = 0 for x = 1, and y = 1. dx

A: We'll answer the first question since the exact one wasn't specified.  Please submit a new question…

Q: dy ) - /1 – x² find? dx y = x sec-1

A: Consider the following equation: y=xsec-11x-1-x2 Differentiate the above equation with respect to x:…

Q: dy 17. Find dx at the point (-2, 2) given that 2x- 5y = 3xy

A: Explanation and solutions is given below.....

Q: dy (x³ + 1)(x² – 2x-1+ 1) of y = dx x² + 3

A: y=(x3+1)(x2-2x-1+1)x2+3

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

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Q: Compare dy and ^y for y =-4x2-3 at x=-1 and dx=^x=-0.06. Give answers to four decimal places.…

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Q: r1/V1-x 70. (2y + 1) dy dx |-1/Vī=x

A: Consider the provided integral ∫-11 ∫-11-x211-x2 2y+1dydx. Solve the provided integral. ∫-11…

Q: dy 1. Find for the following functions: dx 1) y = (x- 3 )(1 – x )

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

Q: 3. (y -2 ) dx – ( x - y – 1 ) dy = 0

A: Given (y-2)dx-(x-y-1)dy=0

Q: dy -xy y(0) = 2. dx 1+ x² '

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Q: dy Find for dx 5) y = sec-(2e3x)

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Q: dy cos-1x Find for y = dx /1-x2

A: Given :   To find dy/dx:

Q: 1-y² V1-y? I-2(1- x) dy dx

A: We will divide and integral the given function

Q: Find the function y(x) satisfying = 8x - 7 and y(2) = 0. dx dy The function y(x) satisfying = 8x - 7…

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Q: Find d-y for the given function. dx2 y = x - sin(x) 6 dx2 %3D

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Q: d³y is Blank 1. dx- Find the third derivative of y= (x+5)2. The

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Q: e2x -1 If y = In find dx dy e2x +1 ' Select the correct response: 2e2x e4x+1 e2x e 4x+1

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Q: Find dy/dx at the given point without first solving for y. xy2 = 27 at (3, 3) xp ||

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Q: (x² + 2)² Find the dy/dx: Given y =

A: Find the dy/dx

Q: dy Q3) A) find dx 1+x. 1. у %3 coth У 3 = coth=1(-) 1-x 2. y = cot-12+ tan¬1 -1x %3D

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Q: Compare dy and Ay for y = -4x² – 3 at x=-1 and dx = Ax = -0.06. Give the answers to four decimal…

A: Given:the equation of y is y=-4x2-3 at x=-1  and dx=△x=-0.06To find:Find the value of dy…

Q: dy 1. Determine the general solution of x = 2 – 4x3 dx

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: d²y 2. Find the second derivative, dx2 a. x = t2 + 1 and y = t3 t2 + 2 and y = sin(t + 1) b. x = | 2

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Q: dy/dx=(x-7)e^(-2y) satisfy the initial condition y(7)=ln(7)

A: Use separation of variables to integrate.Given:

Q: dy x- y = x.cos² ² 1- dx

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

Q: dy 3) (x+ 1)(y- 1) dx

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: x2sinx Q4 : Find dy /dx Y = (1+x2)2V1+x

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Q: - +5. dx + 6y = 12(x+e") 1 dy given that y =- and = 3 when x

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Q: d²y dx dy – 3x- dx ential equation x².

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Q: =lf y = elsinx) at a point r = 1/2 then dy/dx

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Q: dy/dx of the function (x³ - 2y² + xy = 0) at the point (1,1) is: B) 2/3 A) 4/3 O C) 5/3 O

A: We will use basic rule of differentiation to  find dydx   rule 1 : du±vdx=dudx±dvdx rule 2 :…