The weekly cost C of producing x units in a manufacturing process is given by the function C(x) = 90x + 700. %3D The number of units x produced in t hours is given by x(t) = 50t. Find (Co x)(t). (Co x)(t) =

Q: Solve the initial value problem dy/dx= e^x+4x-3 where y=5 when x=0

A: Given dydx=ex+4x-3and when x = 0 then y = 5

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A:

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A:

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Q: Solve D.E using Exact from first order 2.xy dx +(x² +3y²)dy

A: To solve the given differential equation.

Q: f'(x) = cos x; y (G) = 3 %3D

A:

Q: Solve the initial-value problem for x as a function of t. dx (2t3 – 2t? + t – 1) 12, г (2) — 0

A: Given,

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A:

Q: f(x, y) = log, (3x) fe dy In(3x)/(yln(y)2)^2 ||

A: Topic- partial differential

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A: Given: dydx=x+1-12-π·cosπx Now separate the variables; dy=x+1-12-π·cosπxdx Now taking integral on…

Q: A. Solve the following equation using integrating factors found by inspection. 3. y(x2 + y2- 1)dx +…

A:

Q: dy/dx = (x-2)e^(-2y) satiafying the initial condition y(2)=ln(2) Find y as a function of x

A: Seperate the x terms and y terms to different sides and integrate on both sides.

Q: B- Solve one of the following initial value problems for y as a function of x: 2. %3D x²+1 dx 1,…

A: To solve the given initial value problem as a function of x

Q: Solve the initial value problem for y as a function of x. (x² + 25) dy %3D 29, у(5) %3D 0 dx

A:

Q: (1) (a) Find the derivatives of functions f(x) = e2 and g(x) = 5æ?. (b) Compute the definite…

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Q: If the function f (x) solves the initial value problem dy = (x + 1)-1/2 – r dx - T. cos(T2) y(3) = 2…

A:

Q: dy Solve the initial-value problem for y as a function of x. (49 – x²). dx = 1, y(0) = 4 Y =

A: We will solve this integration using trigonometric substitution as follows

Q: g(x, y) = sin (T ¤y) + log3 (x – 3y) -

A: The given function is                          gx,y=sinπxy+log3x-3y…

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A:

Q: Solve the initial-value problem. dy for x20 with y(0) = 2 5 dx The solution to the initial-value…

A:

Q: 44. Solve for the second derivative of y = e5x а. 25е5x b. 25e4* c. 25e3* d. 25e2x 45. Find dy/dx of…

A: NOTE: Refresh your page if you can't see any equations. . take derivative take the second…

Q: Find the temperature u(x.1) from the heat equation in a laterally insulated copper bar 80cm cm long…

A:

Q: d) y = 5 ln 3 ; x=2 cost sin t e) y=r° cos (2e') ; x= 3-1

A:

Q: (x² + 4) dy 山 3. y(2) = 0

A: we know that ∫dxx2+a2=1atan-1xa+C,  where a>0 see below the answer and calculation

Q: Q1- Find dy / dx for the following functions: -2 2.8ln2 eo Y= 4 5 sinh 9x * Inxy sino 3 log2 2

A:

Q: Obtain the general solution using variation of parameters (D²+3D+2)y=cos(e^-x)

A: We have to solve the given differential equation by variation of parame

Q: 3+ cos(log4 x) 3. (y +4)(v² + 8y)Ny² + 8y – 1 dy 1. dx x sin (log, x) 4x3 + x xp 4.メ+ 2x2 + 10 2. |…

A: As per bartleby guidelines we only give first question answers.

Q: 1. Solve for y, using the method of successive approximation. dy dx = x + y; y(1) = 1

A:

Q: Find the general solution of y"-3 y'+2y = e2* [using variation of parameters] cos x

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Q: dx 2а — У dt fip dt x + 2 cos(t)

A:

Q: find ƒx , ƒy  . 1.ƒ(x, y) = e^(xy) ln y 2. ƒ(x, y) = cos^2 (3x - y2 )

A: Hi! You have uploaded multiple questions. As per norms, we will be solving only the first question…

Q: Solve the initial-value problem for x as a function of t . dx (2t3 – 2t? + t – 1) - 3, г (2) — 0 dt

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Q: The size of a population x as a function of time y is given by dx/dy=0.02x+9y . Solve for x as a…

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Q: B- Solve one of the following initial value problems for y as a function of x: 2. =- 1, y(0) = 1 dy…

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Q: Q5) Solve dx dx +2xy = 3 by using Euler's method to find the approximate solution up to X-2.9 when h…

A: The solution is given below

Q: dy Solve the initial – value problem: = y² given that f(0) = -1 dx %3D

A:

Q: The

A: This is Linear Differential equation in x. We use method of separation of variables.

Q: 3n 2n TE S. (sin x + cos y)e dx dy dz A. 2n(e2n + e3) B. 2m(e2 – e3") c. 2m(e + e2") p. 2n(e- e")

A: For the solution follow the next steps.

Q: Find the value of C2 so that the function y = Cqe2x + C2e* + 2 sin x satisfies the initial…

A: Given, The function y=c1e2x+c2ex+2sinx We have to find the value of c2 which satisfy the initial…

Q: Solve the initial-value problem for x as a function of t . (2t³ − 2t² + t − 1) 12, x(2) = 0 dx dt =

A:

Q: -8 dx c – 2)(x² + 4) an upper-case "C" for the constant of integration.

A: We use partial fraction to find integral

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A:

Q: Q4/ A/ Find the integration for the following functions (chose three) 1- sa (3x³+3x-5x²) dx 2 - S 2x…

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Q: Q1: Find general solution of D.E. cosh (x) + sinh(x) y = e* dx

A:

Q: Find for the Implicit function: dx x² – sin(xy) + y² = 5xy

A:

Q: Solve the following initial value problem for  y = f (x). dy dx  =  e−3x, y = 79  when  x =…

A: dydx=e-3x and y=79 whrn x=0

Q: Solve the following initial value problem for the unknown function y(x) a) y' = 2xy², y(1) == b) 2…

A: Topic:- application of integration