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The Solution of the Differential Equation y=xyy ^ { \prime } = x y

Question 31

Multiple Choice

The solution of the differential equation y=xyy ^ { \prime } = x y is


A) y=cexy = c e ^ { x }
B) y=cex2y = c e ^ { x ^ { 2 } }
C) y=c+exy = c + e ^ { x }
D) y=cex2/2y = c e ^ { x ^ { 2 } / 2 }
E) y=c+ex2/2y = c + e ^ { x ^ { 2 } / 2 }

Correct Answer:

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