Teaching DSSSB TGT Mock Test 2025 Mathematics Differential Equations

यदि \(y = y(x)\) अवकल समीकरण \(e^y\left(\frac{d y}{d x}-1\right)=e^x\) का हल है, जहाँ \(y(0) = 0\) है, तो y(1) का मान है:

1
loge 2
2
2e
3
2 + loge 2
4
1 + loge 2
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