Find the function satisfying y' x + 3 and y(0) = 2 ... 2y + 5

Q: Find y as a function of a if y(0)2, y'(0) = 3, "(0) = -13. y(x) = y″ − 4y″ − y′ + 4y = 0,

A: Given a differential equation:initial conditions are:

Q: If y = Vx? – 2x then y' 2(x-1) 3x2-2x %3D

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Q: (b) A poll commissioned by a politician estimates thatt days after he makes a statement denegrating…

A: Given: Percentage of constituency that supports a politician is: St=75t2-3t+25t2+3t+25 Derivative of…

Q: Express f(z) = x-1-iy (x−1)² + y² in terms of z.

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Q: Find y as a function of x if y(1) = 1, y'(1) = 4. y = x²y"-7xy' + 16y=x6,

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Q: The level curves of the function f (x, y) = /2x² + y² – 1 are

A: Explanation of the answer is as follows

Q: 1+vx [8] Find y" of y =

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Q: Find y as a function of x if

A: The given differential equation y'''-4y''-y'+4y=0D3-4D2-D+4=0D+1D-1D-4=0D=-1, 1, 4

Q: x²y" + 3ry – 24y = 0, y(1) = -8, y'(1) = –7. y =

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Q: Find y as a function of t if y(4) = 6, y (4) = 4. y = 121y" - 132y +36y = 0,

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Q: Find y as a function of x if x'y" + 5xy' + 4y = 0, y(1) = 9, y'(1) = -2. y =

A: Solution :-

Q: Find the derivatives of the functions

A: The derivative of the given function can be found with the help of the one-time differentiation with…

Q: Differentiate the function. y = (3x* - x+ 1) (-x³ +9) %3D y' =] %3D

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Q: Find y as a function of t if 16y" + 16y + 4y = 0, and y(1) = 2, y'(1) = 3. y =

A: The given differential equation  and the initial conditions .The objective is to find the solution…

Q: Find y" * y" at (1,1) of x'y =1

A: We have to find derivative

Q: Q. 6. Consider f (x) = -* + 2x + 1. x3 3x2 3 Use derivatives to separate the regions where function…

A: If f′(x) > 0, then f is increasing on the interval,and if f′(x) < 0, then f is decreasing on…

Q: Differentiate the function. ((5y + 1)3 Vy2 + 1 G(y) = In G'(y) =

A: Solve the following question

Q: Find y as a function of a if y(1) = 8, y'(1) = 6. y = x²y" + 3xy' - 35y = 0,

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Q: Find y as a function of a if y(1)9, y'(1) = -5. y = x²y" - 15xy' + 64y = x²,

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Q: Differentiate. y = ³√√x³+3x+1.x4

A: Given function y = x3 + 3x + 13.x4

Q: Find y as a function of x if y(4) — 6y" + 9y" = 0, y(0) = 18, y'(0) = 10, y'(0) = 9, y″(0) = 0. y(x)…

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Q: Find the interval in which the function is positive. f(x) = x2 - 7x + 10 %3D I. (- , 2) II. (2, 5)…

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Q: Find fyx for f(x,y)=exln(y)

A: Given : fx,y = exlny

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

A: Topic :- Derivative

Q: Find y as a function of if y(0) = 19, y'(0) = 19, y"(0) = 4, y"(0) = 0. y(x) = y(4) 4y" + 4y = 0,

A: y(4)−4y′′′+4y′′=0y(0)=19,y′(0)=19,y′′(0)=4,y′′′(0)=0

Q: Find y as a function of a if y(0) = -2, (0) = 9, '(0) = -62. y(x) = y" - 4y" -y + 4y = 0,

A: Given that y''' -4y'' - y' + 4y = 0 ,   y(0) = - 2 y(0) = 9 '(0) = -62.

Q: Q3 Find f-(x) for the following : 1- y = Jx-3 2- y = (2x³ + 1)'/5

A: For finding the inverse, we will replace x with y and y with x

Q: Find ao of the function f(x) =(T - x)2 |3D | O 5 T^2/12 5 π^2/6 O T^2/12 TT^2/6

A: Fourier coefficient of the function

Q: Find y as a function of x if y" + 16y' = 0, y(0) = 0, y'(0) = 4, y'(0) = -32. y(x) =

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Q: Let f(x) ƒ'(x) = ƒ'(3) = = √2x² + 4x + 3

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Q: 2. Find the x-intercepts for g(x)= 3x² -12x² - 36x

A: To find the x intercept we have to put y = g(x) =0

Q: Find y as a function of a if y" - 3y" y + 3y = 0, y(0) = -7, y' (0) = -4, y" (0) = 9. y(x) =

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