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Find a minimum value for the radius of convergence of a power series solution about x=0 for 

Suppose you are solving a differential equation using the method of power series, about x=0, and you obtain the recurrence relation for the coefficients of the power series solution as follows: 

Solve the initial value problem using the method of Laplace transforms. All steps must be shown. No credit will be given if solved with another method. 

Assume that the real interest rate increases, then the long-run price will , and long-run Real GDP will .  Assume that instead taxes decrease, then in the short-run the economy will experience a(n) .

Assume that an economy’s Investment into Capital = 545, Imports = 243, Exports =178, Government Spending = 440, and Taxes = 120.  If the consumption function is C = `value1`*Yd+`value2`.  What is the equilibrium level of GDP?

Suppose that in a closed economy GDP is `Y`, consumption is `C`, transfer payments are `TP`, Government Spending is `G` and the current Budget Deficit is `BD`.  What is the level of private savings? (Provide your answer in trillions and round it to the first decimal.  Ex. If your solution is 6.32 trillion, enter 6.3)

Which of the following would increase equilibrium real interest rates? (6 Options scroll down to view all of them)

Assume that companies experience decreases in their current level of profitability, while simultaneously, consumers expect lower income in the future.  The current equilibrium amount of loanable funds (number of loans) will , and the current equilibrium interest rate will

Which of the following would cause the long-run equilibrium prices of an economy to decrease?