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If dy/dx = y + 3 (with y + 3 > 0) and y(0) = 2, find the value of y at x = ln 2.
- 13
- -2
- 7
- 5
Correct answer: 7
Solution
Solving the linear ODE gives y + 3 = 5 e^x, so at x = ln 2, y + 3 = 10 and y = 7.
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