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The Differential Equation y=x+y+11y ^ { \prime } = \sqrt { x + y + 1 } - 1

Question 39

Multiple Choice

The differential equation y=x+y+11y ^ { \prime } = \sqrt { x + y + 1 } - 1 has the solution


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

Correct Answer:

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