Mathematics · Differential Equations
The general solution of the differential equation (1 + sin2 x) dy/dx + y sin 2x = cos x + sin2 x cos x is
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(sin 2x)y = sin x + sin2 x + c
- 2(1 + sin2 x)y = sin x + (sin3 x)/3 + c✓
- 3(1 + sin2 x)y = sin x - (sin3 x)/3 + c
- 4(sin 2x)y = sin2 x + c
Correct answer
(1 + sin2 x)y = sin x + (sin3 x)/3 + c
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