7. y =x y =x+2 8. y = x- 4 y =-x- 2 9. y =x- 2x+2 y = 2x-2

Q: 5 y = 2 – x 6 y = -5x 7 y = 2x' – 3 8 y= x + 8 9 y= 10 y = x 11 y = Vx +1 12 y = 4 + 3x 2.

A: Remark: A function g is said to be inverse function of f if  f(g(x)) = x for all x in the domain of…

Q: 17 If y =-2x-x + 6, what is the value of y when r = -1 2/1

A:

Q: 5-y" 2y + 4y= 0; y(0) = 2, y(0) = 0

A:

Q: (4) y" - 3ry + Ay = 0; y(1) = 2. /(1) =1

A: Given that (4) x2y''-3xy'+4y=0,  y1=2 and y'1=1 The given equation is a homogeneous linear…

Q: with y(0) -1

A:

Q: 5 Find y' if y = 4 9x

A:

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

A:

Q: 1) y" + y' – 6y = x² 2) y" + y' – 6 = tx ||

A:

Q: Graph the functions

A:

Q: 2x + 4y 2 8 2x - 4y s 8 20 y 10 Solution Set

A:

Q: 14メナ2y=7 X-y=4

A: x + 2y = 7 ..... (i) x - y = 4 ...... (ii)   (i) - (ii) gives, (x+2y) - (x-y) = 7 - 4 So, 3y = 3 So,…

Q: AY 10- 8- 6- 4. 2- 0- 10 12 14 -2- F -4-

A:

Q: 17) y"+2y'+2y= 0, y(0) = 0, y'(0) = 1.

A: Topic = Differential equation

Q: ) Max z = 2x 75y Subject to: 2× + 9 y 4 10 3X ty E 12

A:

Q: -2t 2) y" – 10y' + 25y = 24te y(0) = -2, y'(0) = –10; -

A:

Q: ý +4ý + 3y Y6) = y'(0) = 1 %3D to

A: Given that

Q: 19) y"- 4y'+5y= 0, y(0) = 1, y'(0) = 2.

A:

Q: evaluate y"+5y'+6y=0    if y=e^-3t, y'=-3e^-3t, y"=9e^-3t

A:

Q: 0.2x-0.8 y0.8 = 2x 0.2y-0.2 2x0.2,

A:

Q: Which equation corresponds to this graph?

A:

Q: 4) y – 4y = 8u(t – 3), y(0) = 2;

A:

Q: 20+y dy 20-y -20

A:

Q: If x +1 y = x - 1 then y' (3) equals (enter your answer as a decimal)

A: given y=(x+1)/(x-1) we need to find y''(3) first let us find y''(x)…

Q: y(3) + 9y' = 0; y(0) = 3, y'(0) = –1, y"(0) = 2; y1 = 1,

A:

Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: 1- y" – 3y' + 2y = 4e2t y(0) = -3 , y'(0) = 3

A:

Q: 2X +3Y+5Z 6X -2Y -3Z 8X-5Y-6Z X+Y+2Z 2X+ Y + Z X + 2Y + Z 6X-4Y+5Z 3X + 2Y 5X + 4Z = 0 = 3 = 1 m H…

A:

Q: (a) yx+3-3yx+2 -10yx+1 +24yx=0

A:

Q: 1 y" + 3y' - 18y = 0 2 y"-14y' +49y = 0 y" + 2y' +10y = 0 y"" — 7y — бу = 0 3

A:

Q: 8. 2y" – 2y' + y = 0; y(0) = –1,y'(0) = 0

A:

Q: ), y(0) = 4.6, y'(0) = - %3D

A:

Q: 6y^4-5y'''-14y''-y'+2y=0

A: The objective is to find the general solution of the given differential equation

Q: - 2y +y-0 if y(0) - 3, y (0) 0.

A:

Q: - x + 20 y + z = 21 – x – 2y + 100 z = 300 10 x + y + z = 24

A:

Q: 12e* 10) y"-2y'+y =-

A:

Q: Differentiate: 1. y''' - 4y'' + y' + 6y = 0 2. yIV + 16y = 0

A:

Q: 4y" + 28y' + 49y = 0, y(0) = 7, y' (0) = 7. y =

A:

Q: [a] -(-x)= x [b] (-x)y = -(xy) and (-xX- y)= xy

A: We use The fact that (-x)+x=0 and x*0=0

Q: If y? – 3z = ry – 4, what is y+3 2y-z リ-3 2y-z y-3 0皇- || 业山由一在电一山 由一在

A: Given Data: Equation: y2-3x=xy-4 Simplify the equation. y2-3x=xy-4y2-xy=3x-4

Q: 10. y" + 3y + 2.25y = 9t³ + 64, y(0) = 1, y'(0) = 31.5

A:

Q: 1) y" – 10y' + 25y = 8e- y(0) = 1, y'(0) = -4;

A: Follow the steps.

Q: 14. x = -y + 4y, x = 0 3 1 1 2 3 2.

A: Consider

Q: A y y 4 -5 15 1 1 12.5 1 8 10 2. 16 10 3 7.5 3 32

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 4t^2y"+8 ty'+y=0, y(1)=-1 and y'(1)= 3

A: We have to solve the following Cauchy Euler differential equation: 4t2y''+8ty'+y=0. The initial…

Q: 2) 2 dy +9 = 0, y(0) =-3

A:

Q: Solve for y. y  –  3 4  =  3 4

A:

Q: ) xッ Xy3 2リ-323 3)y2 4y5 yー5

A: topic - exponents

Q: 4 1) ry" + ry' - y = ; y1 = r 2) ry" – ry' + y = r; y1 =

A: Both Equation are Second order Euler Non Homogeneous Ordinary Differential Equation.  For solution ,…

Q: y" 3y 4y e* y(1) yo y'(1) y

A: The given differential equation is:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.