WorksheetsBasic Differential Equations Quiz
Total questions: 10
Worksheet time: 30mins
Which of the following is the ordinary differential equation? (select more than one)*
Option 1
Option 2
Option 3
Option 4
Which of the following is the 1st order ordinary differential equation?*
Option 1
Option 2
Option 3
Option 4
Which of the following ordinary differential equation is linear?(select more than one)*
Option 1
Option 2
Option 3
Option 4
dP/dt = P (1-P) is a (a) equation
Which of the following differential equation is TRUE according to the indicated dependent and independent variable? (select more than one)*
x- dependent variable, y- independent variable
y- dependent variable, x- independent variable
t- dependent variable, x- independent variable
u- dependent variable, x,y- independent variable
Which of the following differential equation fits to the physical description given? (select more than one)*
The velocity v at time t of a particle moving along a straight line is proportional to the sixth power of its position x.
The rate of change of the population p of bacteria at time t is proportional to the population at time t.
The rate of change of the mass A of salt at time t is proportional to the square of the mass of salt present at time t.
The rate of change in the temperature T of coffee at time t is proportional to the difference between the temperature M of the air at time t and the temperature of the coffee at time t.
Is the following statement is TRUE?*
YES
NO
Is the given function is the implicit solution for the differential equation; dy/dx = 3x2/2y ?
YES
NO
Does the given function is a solution of the differential equation?*
YES
NO
The function, x = c1 cos4t + c2 sin4t is a family solution for the for differential equation of x'' + 16x = 0.
Given the initial value problem; x(π/2) = -2 and x'(π/2) = 1
Which of the following solution regarding the initial value problem is TRUE?
c1= -1, c2 = -1/4 thus, the solution is x = − cos4t - 1/4 sin4t
c1= -1/4, c2 = -1 thus, the solution is x = −1/4 cos4t - sin4t
c1= -2, c2 = 1/4 thus, the solution is x = −2 cos4t + 1/4 sin4t
c1= 1/4, c2 = -2 thus, the solution is x = 1/4 cos4t - 2 sin4t
