Solve: dydx (x - y) = 1
Think of it like this: using formula we get ( x - y2 ) = y + c. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get ( x - y2 ) = y + c.
Ref: NCERT Mathematics Class XI — Trigonometry
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The general solution y(x) of the differential equation dy dx= 1-y^2 1-x^2
The logic is straightforward: complete solution: write formula, plug data, do arithmetic. Final value matches sin-¹ y - sin-¹ x = sin-¹ c. Simple and accurate.
Ref: NCERT Mathematics Class XII — Differential Equations
