2 is equal to y"-)?+ If y" +2a(x)y = -a'(x)y then the expression O 2a(x) O 4a(x) O 4a(x) – 2a'(x) O constant. O None of these.

Q: er + e-x3 d) k(x)= 3e* + 4x

A: Given function, k(x)=ex+e-x33ex+4x

Q: 2. Prove that if a, b e R, then (a) -(a + b) = (-a) +(-b), (c) 1/(-a) = –(1/a), (b) (-a)·(-b) = a ·…

A:

Q: What is the coefficient ot x" in (x+3) '9? What is the coethicient et x? in the expanson ot lx +2) 4…

A: Binomial theorem expantion

Q: .(1) t is straightforward to show that y = k-1 is a solution to the homog quation

A: Given,                yk+2 -2k+1kyk+1+ kk-1yk=0         (3.151)and       yk+2 -2k+1kyk+1+…

Q: 1. x² · x -3 2. ) 2 (y)' 3. m-3

A: NOTE Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Consider the following statements, where the domain of each variable is R: (1) Vxy ((x+y=2) ^ (2x -…

A: True or false

Q: - Evaluate the followings: (i)-r' (4) (ii)-(2) (ii) (-3) Г (iv) Γ(0.5)

A:

Q: 49

A: ln4te6t

Q: O True (²7.¹7 (²77)) ²1¹7A (2)

A: This expression is False

Q: 5x 60(x, +x,) 3 b) Y = In 60(x2 . 3,

A: The given differential equation:                                                 Y=ln5x1360(x2+x1)32…

Q: rcosck) X)= 2メ+ hca) + ě Uf)→ at メ=3 @ fiw) = O (fuda (x)

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.