Adifferential equation may possess more than one family of solutions.
(a) plot different members of the families
_ _ 2 _ _ _ 2

y—¢i(x)-x +01 30d y—¢2(x)— x +02-
(b) verify that , y = ¢l(x) and y = ¢2(x) are two solutions of the nonlinear first-order differential equation
(3")2 = 4x2-
(c) construct a piecewise-defined function that is a solution of the nonlinear de in part (b) but is not a member of either
family of solutions in part (a)-

The table shows the balance of a money market account over time. write a function that represents the balance y (in dollars) after t years.

Expresa commuter train leaves downtown sation and travels at a average speed of 55 miles per hour towards the north side sation, which is 50miles away. thirty minutes later, express commuter train #7 leaves north side and travels at a average speed of 35miles per hour towards downtown sation. at the moment the two trains pass each other, how far(in miles) is train #12 from the downtown sation and how long(in minutes) has the #12 train been traveling

Astudent must have an average on five test that is greater than it equal to 80% but less than 90% to receive a final grade of b. devon's greades on the first four test were 78% 62% 91% and 80% what range if grades on the fifth test would give him a b in the course? ( assuming the highest grade is 100%)