Explanation:tion of the differential equation (e^ x^ 2 +e^ y^ 2 ) y d y d x + e ^ x ^ 2 (…
Mathematics · JEE Advanced · NTA Exams — Differential Equations
Explanation:tion of the differential equation
\(\left(e^{x^{2}}+e^{y^{2}}\right) y \frac{d y}{d x}\) + \(\mathrm{e}^{\mathrm{x}^{2}}\left(\mathrm{xy}^{2}-\mathrm{x}\right)\)= 0, is
\(\left(e^{x^{2}}+e^{y^{2}}\right) y \frac{d y}{d x}\) + \(\mathrm{e}^{\mathrm{x}^{2}}\left(\mathrm{xy}^{2}-\mathrm{x}\right)\)= 0, is
- \(\mathrm{e}^{\mathrm{x}^{2}}\)(y2 – 1) + \(\mathrm{e}^{\mathrm{y}^{2}}\)= c
- \(\mathrm{e}^{\mathrm{y}^{2}}\)(x2 – 1) + \(\mathrm{e}^{\mathrm{x}^{2}}\)= c
- \(\mathrm{e}^{\mathrm{y}^{2}}\)(y2 – 1) + \(\mathrm{e}^{\mathrm{x}^{2}}\)= c
- \(\mathrm{e}^{\mathrm{x}^{2}}\)(y – 1) + \(\mathrm{e}^{\mathrm{y}^{2}}\)= c
Answer
(A) e ^ x ^ 2 (y 2 – 1) + e ^ y ^ 2 = c
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