Which of the following is the incorrect option for the dynamic time path of the money market , P(t) = [ P(0) - Ms/αY] e-(αjY)t + Ms/αY ?

• A) The deviation will converge towards particular solution if αj>0
• B) The particular solution is equal to P(0)
• C) There is a particular solution to the equation
• D) There is a complementary solution to the equation

Which of the following is the incorrect option for $\frac{{dP}}{{dt}}$= j(Qd - Qs) ?

• A) The value of j will be negative
• B) All of the given options
• C) The value of j will be zero at equilibrium point
• D) The value of j is known as adjustment coefficient

Which of the following is the correct option in the equation, y''(t)+a1y' +a2y = b if b<0 ?

• A) None of the given options
• B) It is first order homogeneous differential equation
• C) It is a non linear differential equation
• D) It is second order second degree differential equation

Which of the following is the correct option for equation if value of γ is negative $Y(t) = [Y(0) - (\frac{\alpha }{{1 - \beta - \delta }})]{e^{\frac{{1 - \beta - \delta }}{\gamma }t}}{\mkern 1mu} + \frac{\alpha }{{1 - \beta - \delta }}$ ?

• A) There will be convergence towards complementary solution
• B) There will be no convergence towards particular solution
• C) There will be no impact of the convergence mechanism
• D) None of the given options

Given the equation for rate of investment I’(t) = 0.05I+90, Which of the following is the incorrect option?

• A) It is a case of non homogeneous first order differential equation
• B) There is a particular solution to the equation
• C) It is a case of non homogeneous second order differential equation
• D) All of the given options

Which of the following is the correct option for the $\frac{{dy}}{{dt}} + \,Ry = \,T{y^m}$ assuming m=0?

• A) The value of the equation will not depend on time
• B) It will be a first order linear differential equation
• C) There will be not general solution for the equation
• D) It is a non linear first order homogeneous differential equation

Which of the following is the incorrect option for the equation,$\frac{{dY}}{{dt}} + \frac{{1 - \beta + \tau \beta - \delta }}{\gamma }Y = \frac{\alpha }{\gamma }$?

• A) It is first order third degree differential equation
• B) It is first order second degree differential equation
• C) All of the given options
• D) The equation represent a modified form of elasticity of investment

Which of the following is the correct option for the equation; yt+1 + αyt = c ?

• A) C is a constant term
• B) Yt is the value of the Y in next time period
• C) Yt is the value of the Y in previous time period
• D) Yt+1 is the value of the file:///C:\Users\MUHAMM~1.SHA\AppData\Local\Temp\ksohtml3832\wps4.jpgY in current time period

Which of the following is the incorrect option for the dynamic stability of price equation; $P'' + \frac{m}{n}p' + [ - \frac{{\beta + \delta }}{n}]P = - \frac{{\alpha + \gamma }}{n}$ When n<0 ?

• A) The system will dynamically stable with A1 >0 and A2 = 0
• B) All of the given options
• C) The system will dynamically stable with A1 = 0 and A2 >0
• D) The system will dynamically unstable with A1 = 0 and A2 >0

Which of the following is the correct option for reservation price in equation Q(PR) = -PR2 - PR + 90?

• A) Reservation price will be 12
• B) Reservation price will be 4
• C) Reservation price will be 9
• D) Reservation price will be 6

Which of the following is the correct option for the dynamic stability of the time-path of fish stock function F(t) = -70e-0.12t +90 ?

• A) The particular function will converge to complementary solution
• B) The complementary function will converge to zero
• C) The complimentary function will converge to 90
• D) The complementary function will converge to zero

Which of the following is the correct option for the elasticity equation Ed (P,Q) =-4 ?

• A) None of the given options
• B) The elasticity (-4) of the variable will depend on the taste of the consumer
• C) The general solution can be obtained even if it is an inexact differential equation
• D) The equation cannot be used for the exactness test

Which of the following is the correct option for the term of price equation (dp/dt) ?

• A) It is rate of change in price over time
• B) It is slope of rate of change in price over time
• C) It is average price over time
• D) It is market price of goods over time

Which of the following is the correct option for the phase diagram ?

• A) It is a graphical method to test the dynamic stability of the system
• B) It is a form of quantitative aspect of the time path for differential equation
• C) It is a form of exactness test for differential equation
• D) All of the given options

Which of the following is the correct option for the time-path of fish stock function F(t) = -70e-0.12t +90 when time t=0?

• A) The quantity of fish stock function F(t) will be 70
• B) The quantity of fish stock function F(t) will be 20
• C) The quantity of fish stock function F(t) will be 160
• D) The quantity of fish stock function F(t) will be 90

Which of the following is the correct option for dynamic sense of equilibrium in market price, P(t) = Pc + PP ?

• A) Pc is the complementary price of the market
• B) Pc will fade towards equilibrium price as time increases
• C) Pp is the equilibrium price of the market
• D) All of the given options

Which of the following is the correct option for dynamic stability of equation, C(t) =-11e-2t + 80 ?

• A) The complementary function will converge to particular solution
• B) The particular function will converge to complementary solution
• C) None of the given options
• D) The complimentary function will not converge to particular solution

Which of the following is the correct option in the equation, $\frac{{dy}}{{dt}} + \,3ty = \,t{y^2}$ ?

• A) It is first order non homogeneous differential equation
• B) It is the definite solution of the first order non homogeneous differential equation
• C) It is a non linear differential equation
• D) The equation can be used for the exactness test

Which of the following is the incorrect example of first difference equation ?

• A) Price of sugar cane
• B) Price of cotton
• C) Stock exchange activity
• D) Capital stock

Which of the following is the correct option for the dynamic stability of the time-path of $i(t) = [i(0) - (\frac{{\alpha + \gamma }}{{\beta + \delta }})]{e^{\frac{{\beta + \delta }}{{\rho - \sigma }}t}}{\mkern 1mu} + \frac{{\alpha + \gamma }}{{\beta + \delta }}$

• A) None of the given options
• B) The complementary function will converge to particular solution
• C) The complimentary function will not converge to particular solution
• D) The particular function will converge to complementary solution