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

The concentration of a medication M in mg/L present in the bloodstream decreases over time such that the concentration of medication is proportional to the amount of medication t hours after the first dose. The concentration of medication 30 minutes after the first dose is 80 mg/L and was decreasing at a rate of 150 mg/L per hour. Which differential equation represents this relationship? dM =-1.875M dt dM =-1.25M dt dM = -0.66M dt dM = -0.063M dt

A virus spreading across the country is making people sick. Let x be the number of infected people. The DE is proportional to the infected people. Write down a differential equation and determine what happens as time goes to infinity.

After t hours, the percentage of alcohol in the blood decays according to the differential equation dP/dt=-0.1P. In many states, it is illegal to drive with a blood alcohol level greater than 0.10%. A police officer tested someone who was involved in an automobile accident and found his blood-alcohol level to be 0.26% at the time of the accident. How long must the person be detained until they can legally drive again?

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

This is a differential equation problem. A thermometer reading 65 degrees F is placed in an oven preheated to a constant temperature. An observer reads the temperature to be 110 deg F after 0.5 minutes and 150 deg F after 1 minute. How hot is the oven?

The rate of change in the number of deer, D, within a town is inversely proportional to the number of people, p, living within the town. Write the differential equation to solve for D(t). Do not solve. dD dp dD dp dD dp dD dp D = pk = Dk k P =

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

Please explain how to solve, thank you!