Linear Equation Solution Example

This lecture demonstrates the resolution of a linear equation with a second member using previously seen formulas. Starting with known solutions without a second member, U1 and U2, the general solution is reconstructed by calculating the two gamma functions derived from the Wronskian W. The process involves calculating the Wronskian, then the gamma functions through integrals, and finally combining everything to form the general solution with the second member. The final expression includes the product of constants c1 and c2, initial solutions e³t and 2t³ x e³ –t, and an additional simplified function –t³, representing the general structure of the solution.