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

Question 17

Multiple Choice

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


A) y=((x+c) /2) 2y = ( ( - x + c ) / 2 ) ^ { 2 }
B) 2xy+1=((x+c) /2) 32 x - y + 1 = ( ( - x + c ) / 2 ) ^ { 3 }
C) y=2(2xy+1) 3/2/3+cy = 2 ( 2 x - y + 1 ) ^ { 3 / 2 } / 3 + c
D) y=2(2xy+1) 3/2/3x+cy = 2 ( 2 x - y + 1 ) ^ { 3 / 2 } / 3 - x + c
E) 2x+y=((x+c) /2) 22 x + y = ( ( - x + c ) / 2 ) ^ { 2 }

Correct Answer:

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