d2y/ dx2 + y = xsinx and show that the solution is  y=c1sinx +c2cos x - x2cos x/4+xsinx/4

Q: y = x+ – 4x³/2 (x > 0) (x>0)

A: Consider the function:

Q: Find the point on the line 6x + y = 8 that is closest to the point (−4, 1).

A: to find:- point Q(x,y).

Q: Differentiate 4(x + 2y)2 = x2 + y2

A: given equation 4(x + 2y)2 = x2 + y2

Q: If (x2 - y2) = 10 and (x + y) = 2, find x and y.

A:

Q: ∞ Σ η=1 1 √n η

A:

Q: Find the point on the line 2x + y = 7 that is closest to the point (−4, 2).

A: We use second derivative test to find out point where distance minimum

Q: Find the value of x

A:

Q: Is (-2 , 2) a solution of y = 1/2x + 3 ?

A: The given equation is,

Q: -x+y = 3 -43-2-1 0 2 3 4 5x %3D4

A: