Mark all the true statements about the differential equation: $\frac { d ^ { 2 } y } { d x ^ { 2 } } - \frac { d y } { d x } + B y = 0$
A)It is a first order differential equation.
B)It is a second order differential equation.
C)Any solutions to the differential equation would be of the form x = a.
D)Any solutions to the differential equation would be of the form y = f(x).

Question

Quizplus · Accepted Answer

The given differential equation is a second order differential equation because the highest derivative is the second derivative. Solutions to this equation would be functions of x, i.e., y = f(x).

Mark All the True Statements About the Differential Equation d2ydx2−dydx+By=0\frac { d ^ { 2 } y } { d x ^ { 2 } } - \frac { d y } { d x } + B y = 0dx2d2y​−dxdy​+By=0

Mark All the True Statements About the Differential Equation $\frac { d ^ { 2 } y } { d x ^ { 2 } } - \frac { d y } { d x } + B y = 0$