Differential Equations · Class 12 · CBSE · Science Mathematics
The general solution of dy/dx + y tan x = sin x, on an interval where cos x is non-zero, is:
Practice question from Differential Equations (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
hard · MCQ · Q-4A5852
The general solution of dy/dx + y tan x = sin x, on an interval where cos x is non-zero, is:
- A.y = C sec x + cos x
- B.y = cos x(C − ln|cos x|)Correct answer
- C.y = sin x(C + ln|sin x|)
- D.y = C cos x + sin x
Solution
The integrating factor is . Thus, , giving . Therefore, .
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