Lec 08: Engineering Analysis, 3rd stage, Civil Eng. Dep., Semester I, 2020-21, Dr. Mohammed Example 2: Solve y" - 2y'- 3y = 5cos2x-9.

Q: PART 1 Obtain the differential equation of the family of plane of curves in Maks + Ndx = 0 format.…

A: Let's find.

Q: 4. With the aid of a diagram derive the secant method formular for solving nonlinear equations and…

A:

Q: Please.solve part b Course partial differential equations

A: Given Laplace equation is ∆u=0                                   (1) for x≥0 and u(0,y)=f(y) We can…

Q: X () = (:)- Find the solution that satisfies the initial condition %3D

A:

Q: a. Determine the equation of the family of parabolas whose axis is parallel to the x-axis and whose…

A:

Q: d the general solutio

A: Given,           y'+2xy=y

Q: 1. Linear equation of order one: dy-(r-2ydx =0

A:

Q: How do you derive Newton's method for system? Explain the steps?

A:

Q: в ALT ALT 9. Find the particular solution of the differential equation (D² – 3D+ 2) using the…

A:

Q: 54. yy' 2y2 = ex -

A:

Q: Solve the equations in Exercises 1–16 by the method of undeterminedcoefficients. y' + y = e2x

A:

Q: Particular solution of y" - 4y' + 8y = x³, when x = 0, y = 2, y' = 4

A:

Q: 3.Given a nonlinear equation y = 3x^3-

A: Given,       y=3x3-5.12x2+3.4x-1.9

Q: determine the differential equations of straight lines passing through the fixed point(a,b)

A:

Q: Illustrate the Form of General Solution nonhomogeneous equation ?

A: According to the question, we have to illustrate the form of general solution nonhomogeneous…

Q: (1 point) Solve the system 1 6 dx dt -1 6 with the initial value 13 æ(0) = 6 a(t) = %3D

A:

Q: 7. Sketch a phase portrait for the system x₁ = 4x₁ + 10x2, x2 = x1 - 5x2. You should sketch several…

A: Given: System of differential equations, x1'=4x1+10x2x2'=x1-5x2 To sketch: Phase portrait and…

Q: How do we transform System B into System C? UX Equation [B1] → Equation [C1] UX Equation [B2] →…

A: Given

Q: 6. Use Cauchy-Euler equations solution method to solve x³y"' + xy' – y = 0 а.

A:

Q: 2 b. y" + y' - 2y = %3D

A:

Q: [3 Solve the system X'= Ax, where A = Classify the equilibrium at the %3D 9 -3 origin.

A:

Q: Solve differential equation 3x ý – 3ý = e3* – 12x+39 -

A:

Q: Explain Linear Systems of Differential Equations?

A:

Q: How do we transform System A into System B? U x Equation [A1] → Equation [B1] O x Equation [A2] →…

A: Given:  System A -5x + 4y = 7     A18x - 7y = -10  A2 System B -5x + 4y = 7     B1-2x + y = 4…

Q: Define Equilibrium solutions (For autonomous equations)?

A: Equilibrium solutions : An autonomous system or autonomous differential equation is a system of…

Q: 1. Using differentials, solve for the approximate change in the hypotenuse of a right triangle if…

A: Given: The length of the legs of right triangles change from 5 feet and 12 feet to 4.9 feet and 12.1…

Q: Solve the system 3 9 dx dt -1 -3 with æ(0) : 4 Give your solution in real form. x2

A: Given system is of the form X' =AX. We have to find eigenvalues and associated eigenvectors of the…

Q: 9. Form the differential equation of the three-parameter family of conics y = ae* + be2x + ce¬3x…

A:

Q: We want to use a fixed point iteration IE+1 = 9(Tk), k = 0, 1,. to solve the nonlinear equation (1)…

A: The given function is f(x)=ex-2xk+1=g(xk), k=0,1,2,....

Q: Example of a differential problem illustrating two (2) or more possible solutions.

A:

Q: 2. (20 points) Solve using integrating factors method. xy'-3y=x, y(2)=1.

A:

Q: PART 1 Obtain the differential equation of the family of plane of curves in Mdx+ Ndx=0 ormat. 1.…

A:

Q: Find the general solution of (구) -2 1 %3D -2

A: Given that x'=-211-2x The take A=-211-2 Now let's find the eigen values,…

Q: linear algebra

A: Given:

Q: X' : 0 1 X + sec t tan t) -

A: Given

Q: %3D у — Зу + Зу - у %3D 4е" y y =

A:

Q: Q3. Calculate analytically the solution to the homogeneous system: * = Ax, A = Submit all your…

A:

Q: Differential Equations: Solve for Yp: 4.) 18D³-15D²-85D+100 = 0

A: Given differential equation is 18D³-15D²-85D+100 = 0

Q: Obtain the solution of the following differential equation. 3. (x+y-4)dx - (3x-y-4)dy = 0 ; when x =…

A:

Q: Q1/ Solve partial differential equations 1- 2²u əxəy 2+2 x 2- x²p+y²q = -2²

A:

Q: |Using VIM to solve y" + 2y² = 0, y(0) = 0, y'(0) = 1 %3D variational iteration method

A:

Q: Sketch the phase plane of the differential equation * + 8¢ = 0.

A: Given that x¨+8x˙=0 This can be re written as, x˙=-8x So, the second order is changed to first…

Q: 4. y" +y = 2xsinx

A: First we will find complimentary function and the perticular function.

Q: x' = 4x - 5y y' = x- 2y x(0) = 2 y(0) = -2 %3D X(t) = %3D solution vector of differential equation…

A:

Q: y" + 25y = 0, y(0) = 4.6, y'(0) = -1.2 %3D %3|

A:

Q: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the…

A:

Q: Consider an epidemiological model that computes the number of people infected with a contagious…

A: As you have posted a question with multiple sub-parts, we have provided answer for first 3 sub-parts…

Q: (a) Give two reasons why it is important to study analytical techniques for solving partial…

A: We shall solve first question only as per the company guidelines. For others kindly 1 post again by…

Q: Obtain the solution x(t) of the following differential equation:

A:

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.