Engineering Mathematics Differential Equations Higher Order Linear Differential Equations with Constant Coefficients
Consider the following four differential equations:
EQ 1: \(\frac{{{\rm{dy}}}}{{{\rm{dx}}}} - {\rm{y}} = {\rm{\pi }}\)
EQ 2: \({\rm{\;}}{\left( {\frac{{{\rm{dy}}}}{{{\rm{dx}}}}} \right)^2} + 3{\rm{y}} = 36\)
EQ 3: \(\frac{{{{\rm{d}}^2}{\rm{y}}}}{{{\rm{d}}{{\rm{x}}^2}}} + 5\frac{{{\rm{dy}}}}{{{\rm{dx}}}} + 6{\rm{y}} = {\rm{\;\;}}0\)
EQ 4: \({\rm{\;}}\frac{{{\rm{dy}}}}{{{\rm{dx}}}} + {\rm{y}} = {\rm{tany}}\)
Among these four differential equations which is/are linear differential equation(s)?1
Only EQ 1
2
Both EQ 1 and EQ 4
3
Both EQ 1 and EQ 3
4
All of them