(d) P(X + Y = 4),

Q: Determine  d2y dx2 for y = (4x3 + 8)4.

A:

Q: 2(a + 3x) = y - 4x for y

A: Given query is to solve for y.

Q: D2 – 5D +6)y=3xex+2x2 , y(0)=0,y,(0)=1

A: Given differential equation is homogeneous ordinary differential equation. To solve this equation…

Q: Find Z(D4).

A:

Q: 2 d) ²₂t(t4 +3t)dt -2

A: We need to solve ∫-22t(t4+3t)dt

Q: (d) (* + y, x - v)

A: We have given a vector field (x+y,x-y) with four diagrams;