Mathematics · Differential Equations

If c is an arbitrary constant, then what is the general solution of the differential equation (x + y)2 dy/dx = k2 (where k is a constant)?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1y + x = tan(x + c) + k
2x + y = k tan((y - c)/k)✓
3x - y = k tan((y - c)/k)
4y - x = tan(x + c) + k

Correct answer

x + y = k tan((y - c)/k)

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If c is an arbitrary constant, then what is the general solution of the differential equation (x + y)2 dy/dx = k2 (where k is a constant)?

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If c is an arbitrary constant, then what is the general solution of the differential equation (x + y)2 dy/dx = k2 (where k is a constant)?

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