The Differential Equation $y ^ { \prime } = \sqrt { x + y + 1 } - 1$

question 39

Multiple Choice

The differential equation $y ^ { \prime } = \sqrt { x + y + 1 } - 1$ has the solution

• A) \(y = ( ( x + c ) / 2 ) ^ { 2 }\)
• B) \(y = 2 ( x + y + 1 ) ^ { 3 / 2 } / 3 + c\)
• C) \(x + y + 1 = ( ( x + c ) / 2 ) ^ { 2 }\)
• D) \(y = 2 ( x + y + 1 ) ^ { 3 / 2 } / 3 - x + c\)
• E) \(x + y = ( ( x + c ) / 2 ) ^ { 2 }\)

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