y is related to x through the differential equation: dy dx = ax + bx² + dx³ and y = c when x = 0 where a = -1.1, b = 0.3, d = 2.2 and c = 2.2 Find y to one decimal place when x = 3

ll 96% 3. Solve the following differential equation: dy + 5ty = e-{t² dt Justify your answers. 3/3

Assume that is a constant. Choose the differential equation (DE) that is a mathematical model of the following situation: The acceleration dv/dt of a sports car is proportional to the difference between 235km/h and the velocity of the car.

the rate of change in the value of bills investment in bitcoin obeys the differential equation dv/dt= 0.12V, where t is measured in years. a. if the present value of bill's investment is $20,544.33, how much did bill invest initially in bitcoin 6 years ago? b. what is the rate of change in bill's investment 10 years after his initial investment? c. use a differential to approximate the value of bill's investment a month after year 10

y(1) = -1 dx

Assume y is related to x through the differential equation: dy a =b- dx where a = 0.7, b = 3.5, when x = 0 then y = 3, find y when x = 0.7 Give your answer to 3 decimal places. b-y

Assume y is related to x through the differential equation: dy d=b-y where a = -0.9, b = 2.2, a dx = when x = 0 then y = 4.4, find y when x = 2.1 Give your answer to 3 decimal places.