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The Differential Equation y=(4x+2y+3)2y ^ { \prime } = ( 4 x + 2 y + 3 ) ^ { 2 }

Question 27

Multiple Choice

The differential equation y=(4x+2y+3) 2y ^ { \prime } = ( 4 x + 2 y + 3 ) ^ { 2 } has the solution


A) y=(4x+3) 3/12+cy = - ( 4 x + 3 ) ^ { 3 } / 12 + c
B) y=(4x+2y+3) 3/12+cy = ( 4 x + 2 y + 3 ) ^ { 3 } / 12 + c
C) y=(4x+2y+3) 3/3+cy = ( 4 x + 2 y + 3 ) ^ { 3 } / 3 + c
D) y=2tan(22x+c) y = \sqrt { 2 } \tan ( 2 \sqrt { 2 } x + c )
E) 4x+2y+3=2tan(22x+c) 4 x + 2 y + 3 = \sqrt { 2 } \tan ( 2 \sqrt { 2 } x + c )

Correct Answer:

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