Engineering Board Exam Reviewer · Linear First-Order Differential Equations · easy

Find the general solution of dy/dx+2y=0.

1. y = C e2 x
2. y = C e- x/2
3. y = C e- 2 x
4. y = C - 2 x

Answer

C. y = C e- 2 x

Solution

The integrating factor is e2x: d/dx≤ft(ye2x )=0 y=Ce-2x.

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