Mathematics · Differential Equations

The general solution of the differential equation (sin y cos2 y - x sec2 y) dy = (tan y) dx is:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

13x tan y + cos3 y = c✓
2y sin y = x2 cos2 y + c
3x(sec y + tan y) = cos2 y + c
4tan y = 3x cos3 y + c

Correct answer

3x tan y + cos3 y = c

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The general solution of the differential equation (sin y cos2 y - x sec2 y) dy = (tan y) dx is:

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