Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Differential Equations Partial Differential Equations
Which one of the following is a linear non homogenous differential equation, where x and y are independent and dependent variables respectively.
1
\(\frac{{{d^2}y}}{{d{x^2}}} + 4\frac{{dy}}{{dx}} + 3{y^2} = 0\)
2
\(y\frac{{{d^3}y}}{{d{x^3}}} + 4\frac{{{d^2}y}}{{d{x^2}}} + 7\frac{{dy}}{{dx}} = {e^{ - x}}\)
3
\(\frac{{{d^3}y}}{{d{x^3}}} + x\frac{{{d^2}y}}{{d{x^2}}} + 3\frac{{dy}}{{dx}} + 7 = {e^{ - y}}\)
4
\({x^2}\frac{{{d^3}y}}{{d{x^3}}} + x\frac{{{d^2}y}}{{d{x^2}}} + 7\frac{{dy}}{{dx}} = \sin x\)