1. Consider the equations 3(x – 2)(x + 3) = 0 and (2x-4)(3x + 9) = 0. %3D Do they have the same solutions? Justify your answer.

Q: ): Solve the initial value problem : f'(x) = x5 + 12x + 12 and f(0) = 5.

A: We will integrate the given differential equation to find the solution.   And we will use the given…

Q: Solve the initial value problem: y'(x)=√-2y(x) + 35, y(-2) = 5

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Q: Solve the initial value problem: f'(x) = x13 - 4x + 12x + 18 and f(0) = 2. %3D %3D

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Q: 3 dp- V1-4х 1– 4x

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Q: Solve the initial value problem : f'(x)= x" – 4x³ + 12x + 18 and f(0) = 6.

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Q: Solve the initial value problem: f'(x)=5x^28 -6x^5+12x+12and f(0) = 6

A: We have to solve the initial value problem  f'(x) = 5x28 - 6x5 + 12x + 12  f(0)= 6  Integrate both…

Q: The general solution to y'' - xy' + y = 0 is given by:

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Q: Find the solution to the initial value problem xy' = -2y Write your final answer as an explicit…

A: We are given : xy'=-2y⇒xdydx=-2y⇒dyy=-2dxxNow, Integrating both sides we have…

Q: Example: Solve: y' + 3y = e' (1) By Integrating Factor Method:

A: Given data:   The given differential equation is y'+3y=et.   The standard expression for the Linear…

Q: 1 the general solution of x²y" – xy – 3y = 2x².

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Q: x² – y Solve the initial value problem y' with y(2) = 4. %3D xy help (equations)

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Q: Use Fixed-Point method to find solution accurate to within 10 for the following nonlinear equation:…

A: Given equation is, The given initial solution is,  To find the solution of the given equation…

Q: Solve the initial value problem. x2у" - 4хy' - бу%3D 0, у(1) %3D з, у'(1) %3D 4

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Q: what is the general solution to the equation (o° +D)y (x) = x

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Q: Find the general solution of y" – 3y' + 2y 1+e-x°

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Q: Solve initial value problem f'(x) = x³ – 8x2 + 16x + 1;f(0) = 0.

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Q: dy Solve of y = e2-3+18 In(e2²-30+18 da A. y' e2z²-32+18 (8x3 – 18z² + 85x – 57) B. y' e2a2-3a+18…

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Q: Solve the initial value problem : f'(x) = x1® – 4x² + 12x + 13 and f(0) = 2. %3D

A: The given equation is, f'(x)=x16-4x2+12x+13 and f(0)=2. Integrate the given function as shown below.…

Q: 20. In question number 19, what is its particular solution? " (D² – D - 2)y = 1– 2a – 9e- Yp = 3e- +…

A: We need to find the particular solution of D2-D-2y=1-2x-9e-x Now, the particular solution is:…

Q: 3. Solve y' = , with initial condition y(1) = 0. y2 – 1 x3

A: It is given that the differential equation dydx=y2-1x3. Using variable and separable method to…

Q: [3 Marks] B1(b): Solve the initial value problem: f'(x) = x10 + 12x + 15 and f(0) = 7.

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Q: Find the general solution of the following using the method provided: 3. Variation of Parameters y"…

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Q: 3. Solve the following using Two Phase Method MIN Z = x1 + x2 subject to 2x1 + x2 >= 4 x1 + 7x2 >= 7…

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Q: 1. solve e3x-6e2x +11ex =6

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Q: [3 Marks] B1(b): Solve the initial value problem : f'(x) = x14 + 12x + 18 and f(0) = 7.

A: To solve the following initial value problem, f'(x)=x14+12x+18 and f(0)=7 f(0)=7 implies that when…

Q: Solve the following problem using the two phase method. min: z = 3x1 + 4x2 -X3 Subject to 3x1 + 2x2…

A: Since there are multiple questions posted the first question is answered.Kindly re post if any…

Q: What is the general solution of y"'-3 y"+3 y'-y = e* – x-1

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Q: Find the solution of the following initial value problem. g'(x) = 6x5 - 3x2 +8 and g(1) = 30 gx) =

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Q: Differentiate the problem

A: Given : the function

Q: 2). Solve the initial value problem x2= vx-4, x22, y(2) = 0.

A: From the given problem: xdydx=x2-4 So, we can also write as: dy=x2-4xdx∫dy=∫x2-4xdxy=∫x2-4xdx+C...1…

Q: Solve initial value problem f (x) = x³ – 8x2 + 16x + 1;f(0) = 0 .

A: Given that   f'(x) = x3 - 8x2+16x+1 ;  f(0)= 0 Here we have to solve the given initial value…

Q: To find the daily optimum production number of Portland cement in a factory, one needs to solve the…

A: Given system of linear equation is 10x1-x2+2x3=6-x1+11x2-x3+3x4=252x1-x2+10x3-x4=-113x2-x3+8x4=15 To…

Q: 3x2 +1 Solve the initial value problem y y(0) = 3 y – 2

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Q: Complete solution of this by the method of variation of parameters. 3y''-6y'+6y=e^xsecx

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Q: 4. Eliminate the arbitrary constant on the given equation: x + C1e2 + C2e-2

A: 4. The given equation is  y=x+C1e2x+C2e-2x

Q: 2. Solve Graphically Max P =4x+2y Subject to: x+2y<10 x+4y<12 x20, y 20

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Q: Solve the initial value problem  y' = 3x2 -2y, y(0)=4

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Q: solve the initial value problem  y' = (xe^(-2x))/(2y-4) , y(0) =1  thanks

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Q: A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it. The resulting…

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Q: Solve the problem max xy+x+ y subject to x2+ y² < 2, x +y 1.

A: We have to find the maximum value of xy + x + y by using the given conditions

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

A: since u have asked multiple question in a single request so we will be answering only first…

Q: 2y-x = x + 3y + e', 3x' - 4y' = x – 15y + e- |

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Q: 1+x² »" – 2xy' + 2 y = 0 y (x)=x

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Q: y'-y=10

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Q: (b) Solve the initial value problem y' = x³(1 – y), y(0) = 3. %3D

A: Given : y'=x3(1 - y),  y(0)=3

Q: Obtain general solution of the D.E. y' + (1/3)y = e%y4

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.