engineering recuitment GATE IN Test Series 2023-24 Mock Test Engineering Mathematics Differential Equations First Order Equations
Which one of the following is the general solution of the first order differential equation
\(\frac{{dy}}{{dx}} = {\left( {x + y - 1} \right)^2}\), where x, y are real?
1
y = 1 + x + tan–1 (x + c), where c is a constant.
2
y = 1 + x + tan(x + c), where c is a constant.
3
y = 1 – x + tan–1 (x + c), where c is a constant.
4
y = 1 – x + tan(x + c), where c is a constant.