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

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.