[Solved] Solve the differential equation. \[\frac { d u } { d t } = 22 + 2 u + 11 t + u t\] Permit Approval: The process of obtaining formal authorization from authorities to engage in certain activities or operations. Excess Fees: Charges that exceed what is deemed reasonable or customary for services or transactions, often subject to scrutiny in financial and legal contexts. Loan Guarantor: A person or entity that agrees to be responsible for repaying a loan if the primary borrower fails to do so. Real Estate Deals: Transactions or agreements involving the purchase, sale, or lease of land and the buildings on it.