Solve the Differential Equation $$y ^ { \prime } - y = - x y ^ { 2 }$$

question 40

Multiple Choice

Solve the differential equation.
- $$y ^ { \prime } - y = - x y ^ { 2 }$$

• A) \(x + 1 + C\)
• B) \(\frac { e ^ { x } } { e ^ { x } ( x - 1 ) + C }\)
• C) \(x - 1 + C\)
• D) \(\frac { e ^ { x } } { ( x + 1 ) + C }\)

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Definitions:

Amortization Schedule

A table detailing each periodic payment on a loan over time, breaking down the amounts going towards principal and interest.

Interest Rate

The proportion of a loan that is charged as interest to the borrower, typically expressed as an annual percentage.

Monthly Payments

Regular payments made every month, often in the context of loans or leasing agreements.

Callable Bond

A type of bond that gives the issuer the right to repay the bond before the maturity date.