engineering recuitment BARC Stipendiary Trainee Category I 2023 Mock Test Engineering Mathematics Differential Equations Initial and Boundary Value Problems
Find the particular solution for the initial value problem
\(\frac{{{d^2}y}}{{d{x^2}}}\, + \,12\frac{{dy}}{{dx}}\, + \,36y = 0\), with y(0) = 3 and \({\left. {\frac{{dy}}{{dx}}} \right|_{x = 0}}\) = -36.
1
\(\left( {3 - 18x} \right){e^{ - 6x}}\)
2
\(\left( {3 + 25x} \right){e^{ - 6x}}\)
3
\(\left( {3 - 12x} \right){e^{ - 6x}}\)
4
\(\left( {3 + 20x} \right){e^{ - 6x}}\)