Which of the following functions do not form a set of fundamental solutions of y" - 4y 0 Select one: a. (e2t+e-21,e21- e-2) b. (e 21,e2 C. (e4,e2t + e 2) O d. (e2- e-21,e-2te2)

Q: 1. Linear Equation 3x1 t x² 2x1 + 4x² + x³ = 12

A:

Q: The following difference equation describes a simple model of a certain economy, where Yk is the…

A:

Q: 7. Find the equation of the quadratic function f(x) = ax? + bx +c whose graph is shown below. %3D…

A:

Q: 11. Step 1: Complete the table for y > –25 – 1. y = -2x – 1 -1 1

A: solution:-  y= -2x-1 x -1 0 1 y 1 -1 -3

Q: During the process of finding the stationary points of a particular function f(x,y) you are lead to…

A:

Q: Which equation does not represent a linear function of x?

A:

Q: The following difference equation describes a simple model of a certain economy, where Yg is the…

A: The solution is given as

Q: A function z = z(x,y) is given implicitly by the equation xy²z³ = 12. Find z,(3,2)+z,(3,2). Select…

A: Given:

Q: 1) A function is linear for x 2. This function has the following values: 9-4) = 8; A2) = 5; A4) =…

A: Consider the given statements : Put these values in the functions to check whether the functions…

Q: What value are part of the domain of (-∞, -6) 0x=-6 (-6, -2) x=12 (-2,2) x=2 of f(x) = √2+ (2,00)…

A: f(x)=x+6x2-4for domain x2-4≠0

Q: How solve tge step?! 4- Substitution (5) (1) [D(D,-1)(D, -2) + 3D (D –1)+D, +8]y= 7e [D +8]x= 7¢

A:

Q: Given f (x) = -a + 3 and g(æ) = 2a? – 5, complete parts (a) through (f). %3D %3D (Desmos) a.…

A: In this question we have to solve given functions.

Q: C 9х - 10 Зх- 2 y

A: ABCD is a parallelogram. m∠A=3x-2∘m∠B=9x-10∘m∠D=y∘

Q: 10. The graph of a quadratic function passes through the points (3, -4), (4, -3), (-1, 12) and (2,…

A:

Q: Let S2 = {a = (a1,a2,a3) E R3 | aja2 + 2a3 = 0} If y = (y1.y2.y3) E Sz and z = (z1,Z2,z3) E S2, is y…

A:

Q: 2. (LI-2) Consider the equation r2y" - xy + y = 0. It is given that y₁ = z is one solution to this…

A:

Q: The solution to (2x+5)= -(x+2) lies on which interva а. [-12,-8] 2. 15 b. [-9,-4] c. [-3,-1] С. d.…

A: Given  115 (2x+5) = 19 (x+2)⇒ 93 (2x+5) = 155 (x+2)⇒ 3 (2x+5) = 5 (x+2)

Q: Find the solution. d3x d?x d³x dx + 2 =0 dr3 dr? dt

A:

Q: Which of the following points can be a solution in graphing X+ y<6? A (7,10) B (10,10) (10,7) (0,0)

A:

Q: Which of the following is true regarding y = ax + + bx² + c? It will be concaved downwards all…

A: A point x=a is said to be point of inflection of y=f(x) iff f"(a)=0

Q: solve the following equations below?

A: 11. subtract 2x2-9 from 5x2+x+912. y=-x2+2x-4

Q: + %3D 5 -11 3z -4 N N N

A: 2w+3x-4y+z=9...........(1) w-3x+y-z=5.................(2) -2w-x-3y+z=-11........(3)…

Q: Solve the problem. 27) Suppose that sales of a particular brand of appliance satisfy the…

A: Given, sales of a particular brand of appliance satisfy the relationship of y = 80x+ 4900.Where y…

Q: 15. Which of the following equations does NOT have an extraneous solution? A. x-2= 2-x B. x+1=Vx² -5…

A: 1.x-2 = (2-x)1/2 Taking square on both sides, (x-2)2 = 2-x x²+4-2x = 2-x x²-3x+2=0 (x-1)(x-2)=0…

Q: I. Solve for the unknown/s. 1. x:4 = (2x + 3) = 12 2. (x+ 1): (2x + 3) = (x + 3)(2x + 8) 3. (3x –…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.