Which of the following is the correct option for the equation, \frac{{dQ}}{{dP}} +2P = -11 ?

• A) Integration can be used to find value of Q as dependant variable
• B) First order differential equation is not applicable as Q is independent variable
• C) All of the given options
• D) The equation represent a modified form of elasticity of demand

Which of the following is the incorrect option for consumption function, Y(t) = [Y(0) - (\frac{\alpha }{{1 - \beta - \delta - g}})]{e^{\frac{{1 - \beta - \delta - g}}{\gamma }t}}{\mkern 1mu} + \frac{\alpha }{{1 - \beta - \delta - g}} ?

• A) It has both complementary and particular solutions
• B) It is first order differential non homogeneous equation
• C) It will not converge towards to the particular solution
• D) It will converge towards to the particular solution

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) It is a non linear first order homogeneous differential equation
• D) There will be not general solution for the equation

Which of the following is the incorrect option for equation Y(t) = \,[Y(0) - \frac{{{M_s}}}{\alpha }]{e^{ - (\frac{\alpha }{\beta })}} + \frac{{{M_s}}}{\alpha } ?

• A) The equation have complementary and particular solutions
• B) The value of {\frac{\alpha }{\beta }} >0 will lead to divergence from equilibrium value
• C) The value of \frac{{{M_s}}}{\alpha } will is the equilibrium value
• D) The value of {\frac{\alpha }{\beta }}>0 will ensure convergence towards equilibrium value

Which of the following is the correct option for the equation \frac{{dk}}{{dt}} + \lambda k = s{k^\alpha } if \alpha = 1 ?

• A) The equation can be solved with separable variable method
• B) The equation can be solved with Bernoulli equation method
• C) The equation can be solved with exact differential equation method
• D) None of the given options

Which of the following is the correct option for the equation, \(\frac{{dQ}}{{dP}}\) +2P = -11 ?

• A) All of the given options
• B) First order differential equation is not applicable as Q is independent variable
• C) The equation represent a modified form of elasticity of demand
• D) Integration can be used to find value of Q as dependant variable

Which of the following is the correct option for the quantity supply of a sale function, Q(t) = 300e-0.04t +400 when time t=0?

• A) The quantity supplied of sale function Q(t) will be 700
• B) The quantity supplied of sale function Q(t) will be 300
• C) The quantity supplied of sale function Q(t) will be 400
• D) The quantity supplied of sale function Q(t) will be 100

Which of the following is the incorrect option for equation if value of file:///C:/Users/MUHAMM~1.SHA/AppData/Local/Temp/ksohtml1148/wps5.jpg is negative \(Y(t) = [Y(0) - (\frac{\alpha }{{1 - \beta + \tau \beta - \delta }})]{e^{\frac{{1 - \beta + \tau \beta - \delta }}{\gamma }t}}\, + \frac{\alpha }{{1 - \beta + \tau \beta - \delta }}\) ?

• A) There will be divergence from the particular solution
• B) All of the given options
• C) There will be convergence towards complementary solution
• D) There will be no convergence towards particular solution

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 particular function will converge to complementary solution
• D) The complimentary function will not converge to particular solution

Which of the following is the incorrect option for the equation, \frac{{dy}}{{dt}} + \,u(t).y = 0 ?

• A) The equation will have no definite solution
• B) It is first order differential equation with general solution
• C) All of the given options
• D) It is first order first degree non homogeneous differential equation

Which of the following is the incorrect option for equation \(Y(t) = \,[Y(0) - \frac{{{M_s}}}{\alpha }]{e^{ - (\frac{\alpha }{\beta })}} + \frac{{{M_s}}}{\alpha }\) ?

• A) The value of \(\frac{{{M_s}}}{\alpha }\) will is the equilibrium value
• B) The value of \({\frac{\alpha }{\beta }}\) >0 will lead to divergence from equilibrium value
• C) The equation have complementary and particular solutions
• D) The value of \({\frac{\alpha }{\beta }}\)>0 will ensure convergence towards equilibrium value

Which of the following is the correct option for the equation \(\frac{{dy}}{{dt}} + \,( - 1)y = \,6\)file:///C:/Users/MUHAMM~1.SHA/AppData/Local/Temp/ksohtml5460/wps12.jpgusing phase diagram?

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

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

• A) The value of the m=1 and R=2 in the given equation
• B) None of the given options
• C) Using Bernoulli equation method, it can be substituted file:///C:/Users/MUHAMM~1.SHA/AppData/Local/Temp/ksohtml5460/wps9.jpgz in place of y to linearize the equation
• D) The function can be solved with using exact differential equation method

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

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

Which of the following is the incorrect option the equation \(y(t) = \,A{e^{\int {u(t)\,dt} }}\) ?

• A) It is the general solution of the second order homogeneous differential equation
• B) It is the definite solution of the first order homogeneous differential equation
• C) All of the given options
• D) It is the definite solution of the first order non homogeneous differential equation

Concept of comparative advantage was introduced by David Ricardo in:

• A) 1807
• B) 1837
• C) 1827
• D) 1817

Sweden joined European Union in:

• A) 1999
• B) 1990
• C) 1995
• D) 1985

Core-Periphery relationship perpetuates because of:

• A) Technological advantage
• B) Absolute disadvantage
• C) Comparative advantages
• D) Absolute advantage

Which of the following statement is TRUE?

• A) According to Ricardo there is fixed population growth.
• B) According to Malthus there is fixed population growth.
• C) According to Boserup there is fixed population growth.
• D) According to Fisher there is fixed population growth.

--------- banks focused on exploiting potential profits by transferring capital where needed more.

• A) European countries
• B) Developing countries
• C) Developed countries
• D) Asian countries