Solve the Differential Equation $$- x ^ { 3 } y ^ { \prime } + 2 x ^ { 2 } y = y ^ { 2 }$$

question 73

Multiple Choice

Solve the differential equation.
- $$- x ^ { 3 } y ^ { \prime } + 2 x ^ { 2 } y = y ^ { 2 }$$

• A) \(y = \frac { x } { \ln x + C }\)
• B) \(y = \frac { x ^ { 2 } } { \ln x + C }\)
• C) \(y = \frac { x ^ { 2 } } { \ln x - C }\)
• D) \(y = \frac { x } { \ln x - C }\)

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Definitions:

Discount Rate

The interest rate used to discount future cash flows of a financial instrument to present value.

Redeemed

Redeemed refers to the action of exchanging a financial instrument, such as a bond or preferred stock, for cash or another form of value, often at its maturity or a predetermined price.

Bond

A promissory note issued by a business or a governmental unit.

Interest Rate

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