Which of the following is the incorrect option for the ${y^n}(t) + {\alpha _1}{y^{n - 1}} + .... + {\alpha _{n - 1}}{y^1}(t) + {\alpha _n}y = b$ ?

• A) It is nth degree differential equation with nth order
• B) All of the given options
• C) It is a non linear differential equation which have been converted from linear equation
• D) It is second degree differential equation with nth order

Which of the following is the correct option for reservation price in equation Q(PR) = -PR2 - 10PR + 75?

• A) Reservation price will be 12
• B) Reservation price will be 5
• C) Reservation price will be 11
• D) Reservation price will be 4

Depending on the value of discriminant in the $P'' + \frac{m}{n}p' + [ - \frac{{\beta + \delta }}{n}]P = - \frac{{\alpha + \gamma }}{n}$ , the nature of roots of characteristic equation gets defined. This gives rise to?

• A) Two cases of complementary functions
• B) None of the given options
• C) Three cases of particular solution
• D) Four cases of complementary functions

Which of the following is the correct option for the Phillips equation p= α- βU - T ?

• A) All of the given options
• B) Unemployment and inflation are inversely related
• C) Inflation will decrease when productivity (T) increases
• D) Inflation will increase when unemployment increase

Expectations-augmented Phillips relation is based mostly on supply side and deals with?

• A) Wages and money supply
• B) Unemployment and money supply
• C) GDP and inflation
• D) Unemployment and actual/expected inflation

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 stable with A1 >0 and A2 = 0

Which of the following is the incorrect option for the Phillips equation p= α- βU - T + g.π ?

• A) All of the given options
• B) It is original Phillips relation
• C) It is adapted Phillips relation
• D) It is adapted money supply and GDP relation

Which of the following is the incorrect option for the gold mine equation dG/dt + 0.02G(t)= 17 ?

• A) The value of 17 will ensure convergence towards equilibrium value
• B) All of the given options
• C) Time path is not involved in the equation
• D) The value of 0.02 will lead to divergence from equilibrium value

Which of the following is the correct option for unemployment equation U(t) = 80e-3t +90 when time t=0?

• A) The Unemployed individual U(t) will be 170
• B) The Unemployed individual U(t) will be 90
• C) The Unemployed individual U(t) will be 80
• D) The Unemployed individual U(t) will be 10

Which of the following is the correct option for the equation; y’’ + 2y’ +3y = 2t2+t+12 ?

• A) Particular solution for this equation will be equal to complementary solution
• B) Method of undetermined coefficients will be used to calculate particular solution
• C) Method of undetermined coefficients will be used to calculate both complementary and particular solution
• D) Method of undetermined coefficients will be used to calculate complementary solution

Which of the following is the correct option for the definite solution of equation; Yt=1 - Yt = 9 ?

• A) The definite solution will be equal to 9t only
• B) The definite solution will be equal to 9 only
• C) The definite solution will be equal to Y0 +9 only
• D) The definite solution will be undefined

Which of the following is the correct option for the equation $\frac{{dy}}{{dt}} + \,(3)y = \,5$ using phase diagram?

• A) The inter temporal equilibrium will be convergent
• B) The inter temporal equilibrium will be divergent
• C) It can be solved with the Bernoulli equation method
• D) The inter temporal equilibrium will be unaffected

Which of the following is the incorrect option for the equation, $\,\frac{{dy}}{{dt}} + \,\frac{\alpha }{\beta }Y = \,\frac{{{M_s}}}{\beta }$ ?

• A) It is first order second degree differential equation
• B) It is first order first degree differential equation
• C) It is a modified form of elasticity of money demand and money supply
• D) The equation cannot be resolved using differential equation method

Which of the following is the correct option for first order difference equation ?

• A) The tools of analysis will include lags and leads
• B) The nature of values of will be integers only
• C) The analysis is also known as period analysis
• D) All of the given options

Which of the following is the incorrect option for static sense of equilibrium in market price, ${P^*} = \,\frac{{\alpha + \gamma }}{{\beta + \delta }}$ ?

• A) The value of price will be inversely related to $\alpha + \gamma$
• B) The value of price will be constant
• C) The value of the price will be positively related to $\alpha + \gamma$
• D) The value of price cannot be predicted

Which of the following is the incorrect option for the money market equation, $\alpha Y\, + \,\beta \frac{{dy}}{{dt}} = \,{M_s}$ ?

• A) The value of income (Y) will be inversely related money supply (Ms)
• B) The standard first order differential equation can be used
• C) All of the given options
• D) The value of money supply (Ms) will be constant

Which of the following is the correct option for the equation of price Qd = α-βP+mP’ + nP’’ when m>0 ?

• A) It will increase the demand Qd at increasing rate
• B) It will increase the demand of Qd
• C) It will increase the demand Qd at decreasing rate
• D) It will decrease the demand of Qd

Which of the following is the incorrect option for the higher order differential equation in general ? I

• A) It can be a maximum of 5th order differential equation
• B) It can be a maximum of 10th order differential equation
• C) All of the given options
• D) t can be a maximum of 100th order differential equation

Which of the following is the correct option for consumption function, C=α+βY ?

• A) β is the marginal propensity of consumption
• B) It has autonomous consumption α
• C) All of the given options
• D) Consumption is positively related with income (Y)

Which of the following is the incorrect option for initial price P(0) in dynamic sense of equilibrium in market price?

• A) Time path can start from above the equilibrium price
• B) Time path can be equal to the equilibrium price
• C) Time path can start from below the equilibrium price
• D) None of the given options