Mathematics · Differential Equations

Let y = y(x) be the solution of the differential equation cosec2(x)dy + 2dx = (1 + y cos(2x)) cosec3(x)dx, with y(π/4) = 0. Then, the value of (y(0) + 1)2 is equal to:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1e
2e-1✓
3e-1/2
4e1/2

Correct answer

e-1

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Let y = y(x) be the solution of the differential equation cosec2(x)dy + 2dx = (1 + y cos(2x)) cosec3(x)dx, with y(π/4) = 0. Then, the value of (y(0) + 1)2 is equal to:

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Let y = y(x) be the solution of the differential equation cosec2(x)dy + 2dx = (1 + y cos(2x)) cosec3(x)dx, with y(π/4) = 0. Then, the value of (y(0) + 1)2 is equal to:

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