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The solution of the differential equation dy/dx = 1/(x cos y + sin 2y) can be written as x = c*e^(sin y) - k(1 + sin y). Find the value of k.
- 1
- 2
- 1/2
- e
Correct answer: 2
Solution
Solving the linear ODE gives x = c*e^(sin y) - 2(1 + sin y), so k = 2.
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