MAT110U
MATHEMATICS II
4. Ünite
Soru 1
Solve the following ODE (ordinary differential equation)
Soru 2
Solve the following ODE (ordinary differential equation)
Soru 3
Solve the following ODE (ordinary differential equation)
Soru 4
Consider the following ODE subject to an initial condition
Soru 5
Consider the following ODE subject to an initial condition
subject to an initial condition y(1)=5, C=?
Soru 6
Consider the following ODE subject to an initial condition
subject to an initial condition y(5)=1000, C=?
Soru 7
A radioactive isotope has a half-life of 4 days. You wish to have 10g at the end of 16 days. How much radioisotope should you start with? Round your answer to 1 decimal place.
Soru 8
A radioactive isotope has a half-life of 4 days. You wish to have 20g at the end of 32 days. How much radioisotope should you start with? Round your answer to 1 decimal place.
Soru 9
Consider a town whose population grows at a rate proportional to the present population. If the initial population of 10000 increases by 10% in 5 years, what will be the population after 10 years?
Soru 10
Consider a town whose population grows at a rate proportional to the present population. If the initial population of 12000 increases by 20% in 12 years, what will be the population after 15 years?
Soru 11
Which of the following is the general solution of the ODE
Soru 12
What is the solution of the initial value problem
Soru 13
What is the solution of the differential equation
Soru 14
What is the general solution of the differential equation
Soru 15
What is the solution of the initial value problem
Soru 16
Which of the following equations has the particular solution
Soru 17
Find the general solution of
Soru 18
What is the general solution of the differential equation
Soru 19
What is the general solution of the differential equation
Soru 20
A bacteria population grows at a rate proportional to the present population. If the initial population of 10000 increases by %20 in 1 hour, what will be the population after 12 hours?
