Engineering Board Exam Reviewer · Linear First-Order Differential Equations · medium
Solve dy/dx+3y=6 with y(0)=1 and find y(1).
- 2.05
- 1.05
- 2
- 1.95
Answer
D. 1.95
Solution
The steady state is y=2. y=2+Ae-3x with y(0)=1 A=-1, so y=2-e-3x and y(1)=2-e-3 1.95.
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