Question:

What is the solution of dydx+2y=1 satisfying y(0)=0?

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Always apply initial conditions after solving.
Updated On: Mar 18, 2026
  • y=1-e⁻²ˣ2
  • y=1+e⁻²ˣ2
  • y=1+e²ˣ
  • y=1+eˣ2
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The Correct Option is A

Solution and Explanation


Step 1:
Integrating factor =e²ˣ
Step 2:
y=1-e⁻²ˣ2
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