Explanation:tion of the differential equation d y d x + ( x+y 2 )= x-y 2 is
Mathematics · JEE Advanced · NTA Exams — Differential Equations
Explanation:tion of the differential equation
\(\frac{d y}{d x}+\sin \left(\frac{x+y}{2}\right)=\sin \frac{x-y}{2}\) is
\(\frac{d y}{d x}+\sin \left(\frac{x+y}{2}\right)=\sin \frac{x-y}{2}\) is
- \(\ln \left|\tan \frac{\mathrm{y}}{4}\right|=\mathrm{C}-2 \sin \frac{\mathrm{x}}{2}\)
- \(\ln \left|\tan \frac{\mathrm{x}}{4}\right|=\mathrm{C}-2 \sin \frac{\mathrm{y}}{2}\)
- \(\ln \left|\tan \frac{\mathrm{y}}{2}\right|=\mathrm{C}-2 \sin \frac{\mathrm{x}}{4}\)
- \(\ln |\tan \mathrm{y}|=\mathrm{C}+2 \sin \frac{\mathrm{y}}{2}\)
Answer
(A) | y 4 |= C -2 x 2
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