Derek wants to withdraw $10,019.00 from his account 8.00 years from today and $13,250.00 from his account 15.00 years from today. He currently has $3,307.00 in the account. How much must he deposit each year for the next 15.0 years? Assume a 5.35% interest rate. His account must equal zero by year 15.0 but may be negative prior to that.

Derek currently has $14,639.00 in an account that pays 5.00%. He will withdraw $5,978.00 every other year beginning next year until he has taken 5.00 withdrawals. He will deposit $14639.0 every other year beginning two years from today until he has made 5.0 deposits. How much will be in the account 22.00 years from today?

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Find the solution of the initial value problem y" - 4y' + 5y = 2e - sin(x); y(0) = 1, y'(0) = -1: i Write a code in MATLAB to find the solution of the same initial value problem using differences and approximate derivatives diff(y,t, 2) and dsolve and plot its solution yode (r) using the same scale as above. Note: dsolve (eqn) solves the differential equation eqn, where eqn is a symbolic equation. v. Explain which is the dominant term in the solution y(x) of the initial value problem for a → ∞. Find the solution of the initial value problem y" - 4y' + 5y = 2e - sin(x); y(0) = 1, y'(0) = -1: i Write a code in MATLAB to find the solution of the same initial value problem using differences and approximate derivatives diff(y,t, 2) and dsolve and plot its solution yode (r) using the same scale as above. Note: dsolve (eqn) solves the differential equation eqn, where eqn is a symbolic equation. v. Explain which is the dominant term in the solution y(x) of the initial value problem for a → ∞.

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