Engineering Board Exam Reviewer · Variable Separable Equations · medium

Solve dy/dx=2xsqrt(y) with y(0)=4 and find y(2).

  1. 36
  2. 8
  3. 64
  4. 16

Answer

D. 16

Solution

dy/ y=2x,dx 2 y=x2+c. y(0)=4 c=4, so y=x2/2+2. At x=2: y=4, so y=16.

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