state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Mathematics Differential Equations Solution of Differential Equations
मान लें कि y = y(x), अवकल समीकरण \(\rm (1+x^2)\frac{dy}{dx}+y=e^{\tan^{-1}x}, y(1)=0\) हल है तो y(0) है:
1
\(\rm \frac{1}{4}(e^{\pi/2}-1)\)
2
\(\rm \frac{1}{2}(1-e^{\pi/2})\)
3
\(\rm \frac{1}{4}(1-e^{\pi/2})\)
4
\(\rm \frac{1}{2}(e^{\pi/2}-1)\)
5
अनुत्तरित प्रश्न