Solve the differential equation using the method of undetermined coefficients. 
Definitions:
Gross Method
An accounting method for recording purchases of inventory at their full invoice prices without deducting any cash discounts offered.
Periodic Inventory Method
A system of inventory management and cost determination that updates the ending inventory balance and the cost of goods sold only at the end of an accounting period.
Purchases
Transactions involving the acquisition of goods or services for personal use, resale, or business operations.
Voucher Register
A record or log of vouchers that have been prepared, detailing the authorization of transactions and payments.
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