A Solution of the Equation for the Differential Equation $y ^ { \prime \prime } = 2 x \left( y ^ { \prime } \right) ^ { 2 }$

question 9

Multiple Choice

A solution of the equation for the differential equation $y ^ { \prime \prime } = 2 x \left( y ^ { \prime } \right) ^ { 2 }$ is

• A) \(y = \ln \left( c _ { 1 } - x ^ { 2 } \right) + c _ { 2 }\)
• B) \(y = \ln \left( \left( c _ { 1 } - x \right) / \left( c _ { 1 } + x \right) \right) + c _ { 2 }\)
• C) \(y = \ln \left( \left( c _ { 1 } + x \right) / \left( c _ { 1 } - x \right) \right) + c _ { 2 }\)
• D) \(y = \ln \left( \left( \left( c _ { 1 } + x \right) / \left( c _ { 1 } - x \right) \right) ^ { 2 } \right) + c _ { 2 }\)
• E) \(y = \ln \left( \left( \left( c _ { 1 } - x \right) / \left( c _ { 1 } + x \right) \right) ^ { 2 } \right) + c _ { 2 }\)

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Definitions:

Net Liquid Balance

The amount of cash available after accounting for all liquid assets and subtracting current liabilities.

Uncommitted Cash

Funds that are not currently locked into investments or obligations and are available for immediate use.

Involuntary Bankruptcy

A legal process initiated by creditors seeking to have a debtor's assets distributed to satisfy unpaid debts.

Uncommitted Cash

Funds that are not allocated for a specific purpose and can be readily available for investment or other uses.