Solve the following ODES by Inverse Operator method. 2X -X • (D²³+1) y = 3 + 2*² + 5 € Ans : y = C₁ e ² + ¹² ( C₂ cos√3x + C3 sin √2x) + 3 + XC + 22x X/2 -X 5 2X
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- Evaluate: L{cos(3+2t)} s cos32sin3 A s²+4 S B (s+3)²+4 S C (s+3)² - 4 s cos3+2sin3 D s²+4Solve the following ODE. y" + 2y" – y – 2y = 9- 123 NOTE: Write arbitrary constants as c1, Cg, and cg. y(a) = C1 e + c2 e+ c3 e-2 +6 x - 9 x2 - 15Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) – sin(2x) A + C 4 2x?sin(2x) + 2xcos(2x) + sin(2x) + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) + C 4 D None of the given choices 2x2sin(2x) – 2 xcos(2x) – sin(2x) E + C 4 B.