Solve the initial-value problem. 
Definitions:
Stock Options
Financial instruments granting the holder the right to buy or sell shares of a company's stock at a predetermined price within a specified timeframe.
Stock Purchase Plans
Programs offered by companies allowing employees to purchase company stock often at a discount, as part of their benefits package.
Gainsharing
A performance-based compensation strategy where employees receive financial rewards based on improvements in the company's productivity or performance metrics.
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