1.
True or False problem.
On the right hand side of each statement, write T if true and F if False. No explanations
needed.
(a) The differential equation $2xy'' + yy' - \ln y + y = \cos x$ is linear.
(b) The differential equation $(x + 2)y' = e^{2x+y}$ is separable.
(c) The matrix $A = \begin{bmatrix} 4 & 3\\ 3 & 5 \end{bmatrix}$ is invertible.
(d)The vectors $(1, 0, 0)$, $(1, 1, 0)$, $(1, 1, 1)$ form a basis for $\mathbb{R}^3$
