F(-1)=2 and f(0)=3 are the answers that are not true
This is a second-order ODE since the highest order derivative is 2 (from

).
It's not linear because it doesn't take the form

and it's not possible to rewrite it as such.
These are all the possible answers i know from experience.
2x + 2y = 7
x^2 - 4y^2 = 8
2x = -2y + 7
x = -y + 7/2
(-y + 7/2)^2 - 4y^2 = 8
y^2 - 7y + 49/4 - 4y^2 = 8
0 = 3y^2 + 7y + 8 - 49/4
0 = 12y^2 + 28y + 32 - 49
0 = 12y^2 + 28y - 17
y = (-b ± √(b^2 - 4ac))/(2a)
y = (-28 ± √(28^2 - 4(12)(-17)))/(2(12))
Dividing by 2 is like dividing by √(4):
y = (-14 ± √(7*28 + (12)(17)))/(2*6)
y = (-7 ± √(7*7 + (3)(17)))/6
y = (-7 ± 10)/6 = 1/2 or -17/6
x = -y + 7/2 = 3 or 19/3
<span>Solutions are (3,1/2) and (19/3,-17/6)</span>
Consider the first blank is the green box.
Given:
The equations are


To find:
The value belongs in the green box
Solution:
We have,
...(i)
...(ii)
Adding (i) and (ii), we get



So, the value for the first black is 2x. It means the value belongs in the green box is 2x.
The values of three blanks are 2x, 0 and 13 respectively.
Therefore, the correct option is B.