The Differential Equation $y ^ { \prime } = \sqrt { 2 x - y + 1 } + 2$

question 17

Multiple Choice

The differential equation $y ^ { \prime } = \sqrt { 2 x - y + 1 } + 2$ has the solution

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