engineering recuitment AAI JE Technical Mock Test 2020-21 Engineering Mathematics Differential Equations Higher Order Linear Differential Equations with Constant Coefficients
An ordinary differential equation is given below \(6\frac{{{d^2}y}}{{d{x^2}}} + \frac{{dy}}{{dx}} - y = 0\) The general solution of the above equation (with constants C1 and C2), is
1
\(y\left( x \right) = \;{C_1}{e^{ - \frac{x}{3}}} + {C_2}{e^{\frac{x}{2}}}\)
2
\(y\left( x \right) = \;{C_1}{e^{\frac{x}{3}}} + {C_2}{e^{ - \frac{x}{2}}}\)
3
\(y\left( x \right) = \;{C_1}x{e^{ - \frac{x}{3}}} + {C_2}{e^{\frac{x}{2}}}\)
4
\(y\left( x \right) = \;{C_1}{e^{ - \frac{x}{3}}} + {C_2}x{e^{\frac{x}{2}}}\)