2x e2x e +3e7+2

Q: c. y=4x-x [1, 4]

A:

Q: (a) (b) 8llog(2-j3)]e

A:

Q: -2c d10 (-12c³d7)(18c°d)

A:

Q: b. (D² – 4D + 4)y = e2x

A: problem is solved using CF and PI method

Q: f6)=3x"+2Xtl, Find flo), and fC-1)

A: The given function is -  f(x) = 3x2 + 2x + 1 We have to find f(0) and f(-1).

Q: 3.)(D5 – D³)y = 0

A: Given, Differencial equation is (D5 - D³)y = 0

Q: (D² + D2)y=e-²x + 3e²x

A:

Q: dx √4 - 9x²

A:

Q: r2V2 Vx2-4 dx

A:

Q: d. ' = [ * -2 e. X' = .ジ [4 -3 え

A: This is a question of Differential Equation.

Q: Cx-3) Gょ2)tG3)

A:

Q: e3x (1 – 2e3x)2

A:

Q: S₁ y² – 3ydy 11

A:

Q: 7. (D² + D²)z = a²y²

A:

Q: (D2 – 1)y = 8xe*

A: The given problem is to find the general solution of the given differential equation, we have to…

Q: f(t)=-3t*c" +3.8

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 3R3 → R3 A ТА

A:

Q: r2 (e2x-2e3 dx e 3x

A: We know, eaeb=ea-b

Q: dx 4+9х2-6х

A:

Q: (D2 – 4D + 4)y = e3x

A: Given ODE is: (D2-4D+4)y=e3x

Q: 16. (D² + 9)²y = 0

A:

Q: dx 4x2- 4x+5

A:

Q: dx 9x2+4 8.

A:

Q: y′ = e2x + y − 1

A: Given,

Q: y” + 3y = -48x^2 e^3x

A:

Q: bx-4 8 4x+4 D C

A:

Q: e2x  -2ex -15= 0

A: Substitute ex by m then solve as following:-

Q: r2(2-a) - 2r dydr

A:

Q: pð – xª + 4x3 – 4x² + 8x – 4 d.x - - (x² + 4)²

A:

Q: c. 2' + 2'= %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: e2 – 5e² + 6 = 0.

A: Given : e2x-5ex+6 = 0

Q: 57. P(x) = x³ + 2x² – 9x – 18, c = -2

A:

Q: 2. (D² + 4)y = 5e* - 4x

A:

Q: y' = e2x + y – 1

A: Using method of linear differential equation.

Q: | (cscx + 3 e3* š + 6" – 7) d.æ -

A: Given: ∫(csc2x+3e3x+6x-7)dx

Q: Solve the system.

A: to solve the given system

Q: (e) | O V2x – 4x-7

A:

Q: 3) y = e5x² , x

A: To differentiate the below function. y=e5x2+x

Q: (b) r4 x x²-9 dx

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

Q: Vx2 – 4 d.x 3.

A: Please refer the attached image for complete solution.

Q: (D² +25)y=4x²-3e5 ; is

A:

Q: dx 2 9-2х

A: To solve∫dx9-2x2

Q: 3. y= e3x e3x + 1

A:

Q: c3 (3x² + 9y²) dxdy 2

A: To evaluate the integral

Q: c) x² + 2x-24 S

A:

Q: r2/5 V4 – 25x² dx.

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

Q: Find: -4 dx 4 3x3 A) 3** 4 + C B) - 4x + C C) + C O D-4+C

A:

Q: *yz,¢ Cx3っ2) 23x (ゆA)+

A: To find the given questions :-

Q: y' – 3y = e3t, y(0) = 1

A:

Q: z²√(-z² + 1)5 dz

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.