their direction field in the (t, y)-plane. Moreover, on each direction field, draw two solu- tions that satisfy y(1) = 3 and y(1) = 1 respectively. (a) y' (t) = y/2-1, (b) y' (t) = −y/2+1 (a) Which of the previous two differential equations in Problem 1 has unstable (divergent) solutions? Solve it, and show the expressions of two curves that you draw in the divergent direction field.

Q: 2. Select all of the equations that represent linear functions. Ay I By 2x |3D Cy = 22 2 DY Ey %3D…

A: To find:- Select all options that represents linear function

Q: Derive the Monge’s subsidiary equations.

A:

Q: 3) x- y= 11 2.x + y = 19 %3D

A: Given:  x-y=112x+y=19 To Find:  To solve for x and y.

Q: 1 + 1 V v -40 -5

A:

Q: 7) -6.x+ 6y = 6 -6x + 3y = -12

A: Using Substitution,

Q: 6) y = 5x - 7 -3x - 2y =-12

A:

Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

Q: -4 3t° 3t+ i dt

A:

Q: Find the area of the triangle formed by the lines repr

A:

Q: Identify an equation parallel to 5x + y = 2 passes through (2, 3).

A: topic - equation of a line parallel to line and passing through a point

Q: Evaluate the values of x, y and z of the three equations three unknowns : 4x - 2y + 6z = 8 2x + 8y +…

A: Given: 4x-2y+6z=82x+8y+2z=46x+10y+3z=0

Q: Find the equation of the line parallel to 8x +4y = 1 passing through the point (0, 1). %3D

A: Given equation is 8x+4y=1 We have to find the equation of line parallel to 8x+4y=1 passing through…

Q: y= Ax + Be

A: Given equations y = Ax + Bex To eliminate the arbitrary constants.

Q: Find the point on the line 3x + 6y +2=0 which is closest to the point (2,-2). Answer is

A: Foot of perpendicular

Q: A 1 x る8 %3D 은 AB=C Find X+g?

A:

Q: Find the linear equation that is straight through the line (5,5) and parallel to the line 12x-6y=19?

A:

Q: Solve for y in terms of x   xy=x-y x2 +y2= x+y 2x+y=8

A: Given: To solve for y in terms of xxy=x-y x2 +y2= x+y 2x+y=8

Q: Solve for x and y (3x5y = 22x+1 +22x-1 (3y5x = 22x+2_22x-2

A:

Q: Solve (D3-3D2+3D-1)y=x2.ex

A:

Q: 1. (Зху + Зу — 4)dx + (х + 1)2dy %3D0

A:

Q: Write the equation of the line PERPENDICULAR to 8y – 2x = 6 passing through (-3, 2)

A:

Q: The i-component of +t is

A:

Q: Give the coordinates of the point of intersection of3x + 2y = 5 and 5x - 3y = 21.

A: Given: 3x+2y=5 5x-3y=21 To find the point of intersection.

Q: etermine the equation of your model that will pass 2,4

A: We already have the equation of polynomialand