engineering recuitment AAI JE Technical Mock Test 2020-21 Engineering Mathematics Differential Equations Initial and Boundary Value Problems
The solution of differential equation \(\frac{{dy}}{{dx}} + \frac{y}{x} = x,\) with condition that y = 1 at x = 1, is
1
\(y = \frac{2}{{3{x^2}}} + \frac{x}{3}\)
2
\(y = \frac{x}{2} + \frac{1}{{2x}}\)
3
\(y = \frac{2}{3} + \frac{x}{3}\)
4
\(y = \frac{2}{{3x}} + \frac{{{x^2}}}{3}\)