2. choose the best method for solving the equations a), b) and c) from question 1 and solve them i. e.solve the following problems: a) find the one parameter family of solutions for dy 0 - 2y) 3x2ye(3+ xe dr 1. determine if the given differential equation is separable, linear hint: when checking for exact, you should re-write equation into the m(z, y)dr + n(#,y)dy= 0 a) 32y+e+(+ ze» - 2y) #=o or exact (it may be all three). form. b)+(1+v)=0 c) 2ry+3 d) e( +e)0 (3ry2 +2y cos r) ) x-y3+y2 sin x

where is the rest of the

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

1,8,15,22,29,36,43,50

step-by-step explanation:

246

step-by-step explanation: