Solving Euler Equation for F(K) and U(C) with Initial and Terminal Conditions

[peteryellow]

The functions K maps to f(K) and C maps to U(C) are given as:

F(K) = aK and U(C) = -C^2 +b here a and b are positive constants. the initial and teriminal conditions
with the triminal time T = 1/a are
K(0) = K_0 and K_T = K(1/a) here K_0 and K_T are positive constants.

Write Euler equation for the problem and solve it with two constants. Write 2 equations for the constants
in terms of initial and terminal conditions .

 

[MathematicalPhysicist]

LOL

You want a cup of tea with that while somone is solving it for you?