state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Engineering Mathematics Differential Equations Higher Order Linear Differential Equations with Constant Coefficients
The respective expressions for complementary function and particular integral part of the solution of the differential equation \(\frac{{{d^4}y}}{{d{x^4}}} + 3\frac{{{d^2}y}}{{d{x^2}}} = 108{x^2}\) are
1
c1 + c2x + c3 sin√3x + c4cos√3x and 3x4 - 12x2 + c
2
c2x + c3 sin√3x + c4cos√3x and 5x4 - 12x2 + c
3
c1 + c3 sin√3x + c4cos√3x and 3x4 - 12x2 + c
4
c1 + c2x + c3 sin√3x + c4cos√3x and 5x4 - 12x2 + c
5
Question Not Attempted