Find f (x) by solving the initial value problem. 
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Definitions:
Equity Trusts
Investment funds that hold a diversified portfolio of equities or stocks, managed by a trustee for the benefit of its beneficiaries.
Mortgage Trusts
Investment funds or trusts that pool investments in mortgage loans or mortgage-backed securities.
Construction Loans
Short-term loans provided to finance the building or renovation of a property, typically requiring interest-only payments during construction and full repayment upon completion.
Average Maturity
The weighted average of all the maturities of the bonds in a portfolio, reflecting the portfolio's sensitivity to interest rate changes.
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