engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Differential Equations Method of Variation of Parameters
The differential equation \(y'' - 6y' + 9y = \frac{{{e^{3x}}}}{{{x^2}}}\) is solving by the method of variation of parameters, where the complementary function is given by- y = c1y1(x) + c2y2(x)
1
The value of y1(x) = e3x
2
The value of y2(x) = e3x
3
The value of y2(x) = xe3x
4
\(W= \left| {\begin{array}{*{20}{c}} {{y_1}}&{{y_2}}\\ {y_1'}&{y_2'} \end{array}} \right| =e^{6x}\)