defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Differential Equations Solution of Differential Equations
The solution of the differential equation, \(\dfrac{dy}{dx}=(x-y)^2\), when \(y(1)=1\), is :
1
\(\log_e \left| \dfrac{2-y}{2-x}\right|=2(y-1)\)
2
\(\log_e \left| \dfrac{2-x}{2-y}\right|=x-y\)
3
\(-\log_e \left| \dfrac{1+x-y}{1-x+y}\right|=x+y-2\)
4
\(-\log_e \left| \dfrac{1-x+y}{1+x-y}\right|=2(x-1)\)