g) (1+x2)dy + (1 + y²)dx = 0; y(1) = √3. Q2: Suppose that 10 grams of the plutonium isotope Pu-239 was released in the C

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G 1 X2 Dy 1 Y Dx 0 Y 1 3 Q2 Suppose That 10 Grams Of The Plutonium Isotope Pu 239 Was Released In The C 1 (40.62 KiB) Viewed 77 times

g) (1+x2)dy + (1 + y²)dx = 0; y(1) = √3. Q2: Suppose that 10 grams of the plutonium isotope Pu-239 was released in the Chernobyl nuclear accident. How long will it take for the 10 grams to decay to 1 gram? Q3: Suppose that an experimental population of fruit flies increases according to the law of exponential growth. There were 100 flies after the second day of the experiment and 300 flies after the fourth day. Approximately how many flies were in the original population? Q4: Let y represent the temperature of an object in a green house whose temperature is kept at 60°C. If the object cools from 100 to 90 degrees in 10 minutes, how much longer will it take for its temperature to decrease to 80 degrees? Q5: An object of mass m is dropped from a helicopter. Find its velocity as a function of time t if the air resistance is proportional to the velocity of the object. [Hint: Downward force acting on a falling body of mass m and velocity v is F-mg-kv, where air resistance is proportional to object velocity, or equals kv, where k is a constant. We also know that F=ma = mdv/dt. Set F=F to get dv/dt +(k/m)v=g, where g is gravitational acceleration. S this ODE for v]. +