Mathematics · Differential Equations

The general solution of the differential equation (1 + y2) dx = (tan-1y - x) dy is:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1x = tan-1y - 1 + C e-tan-1y✓
2x = tan-1y - 1 + C etan-1y
3x = tan-1y - 1 + C
4x = tan-1y + C e-tan-1y

Correct answer

x = tan-1y - 1 + C e-tan-1y

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The general solution of the differential equation (1 + y2) dx = (tan-1y - x) dy is:

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