PG entrance exam CUET PG 2025 Mock Test Mathematical Science Ordinary Differential Equations Diff equation with constant Coefficient
Given below are two statements :
Statement I: If x2y'' - 2xy' - 4y = x4 then C.F. = \(\rm \frac{C_1}{x}+C_2x^4\)
Statement II : If (D2 - 8D + 15)y = 0 then auxiliary equation has equal roots.
In the light of the above statements. choose the correct answer from the options given below
1
Both Statement I and Statement II are true
2
Both Statement I and Statement II are false
3
Statement I is true but Statement II is false
4
Statement I is false but Statement II is true