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(Solved): [4] Solve the differential equation using Laplace and partial fraction expansion. \( \frac{d^{3} y ...
![[4] Solve the differential equation using Laplace and partial fraction expansion.
\( \frac{d^{3} y}{{d t^{3}}^{3}}+6 \frac{d^](https://media.cheggcdn.com/media/52a/52ad8ad3-2d53-4fba-94a0-d885b67a137d/phphXT1fZ)
[4] Solve the differential equation using Laplace and partial fraction expansion. \( \frac{d^{3} y}{{d t^{3}}^{3}}+6 \frac{d^{2} y}{{d t^{2}}^{2}}+11 \frac{d y}{d t}+6 y=1 \) \( y^{\prime \prime}(0)=y^{\prime}(0)=y(0)=0 \)