1.) If $\phi$ is a solution to a first order linear differential equation, then $c\phi$ is also a
solution to this equation.
B) False
2.) If $\phi$ is a solution to a first order linear homogeneous differential equation, then $c\phi$ is
also a
solution to this equation.
A) True
3.) If $\phi$ is a solution to a first order linear homogeneous differential equation with constant
coefficients, then $c\phi$ is also a
solution to this equation.
A) True
1.) If $b^2 - 4ac < 0$ then the solution to the initial value problem
$ay'' +
by' + cy = 0$, $y(0) = -1$, $y'(0) = -3$ is complex valued.
B) False
2.) If $b^2 - 4ac < 0$ then the solution to the initial value problem
$ay'' +
by' + cy = 0$, $y(0) = -1$, $y'(0) = -3$ is real valued.
A) True
1.)
$L(g) = g'' + p(t) g' + q(t)g$ is a linear function on the space of
all twice differentiable functions.
A.) True
2.)
$L(g) = g'' + p(t) g' + q(t)gg'$ is a linear function on the space of
all twice differentiable functions.