Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Ordinary Differential Equations System of ODE
If we express y" + p(t)y' + q(t)y = 0 as system of equation \(\rm \frac{dy}{dt}=A(t)y\) where
\(\rm y(t)=\begin{bmatrix}y_1\\\ y_2\end{bmatrix}\) and \( \frac{dy}{dt}=\begin{bmatrix}y_1^{'}\\\ y_2^{'}\end{bmatrix}\) then A
1
\(\rm \begin{pmatrix}1&0\\\ -p&-q\end{pmatrix}\)
2
\(\rm \begin{pmatrix}0&1\\\ -q&-p\end{pmatrix}\)
3
\(\rm \begin{pmatrix}0&1\\\ q&p\end{pmatrix}\)
4
\(\rm \begin{pmatrix}-p&q\\\ 1&0\end{pmatrix}\)
5
Question Not Attempted