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(Solved): Solving a differential equation using the Laplace transform, you find \( Y(s) ...
Solving a differential equation using the Laplace transform, you find \( Y(s)=L\{y\} \) to be \[ Y(s)=-\frac{35}{s^{2}+49}+\frac{14}{(s-5)^{2}+49}+\frac{2}{s-5} \] Find \( y(t) \) \[ y(t)=-5 \sin (7 t)-2 e^{5 t} \cdot \sin (7 t)+2 e^{5 t} \times \]
Expert Answer
Given that Y(s)=?35s2+49+14(s?5)2+49+2s?5 taking inverse laplace transform both sides , we get L?1