The current i amperes at any time t is given by \(L \frac{di}{dt} + Ri = E\), when a resistance R ohms is connected in s

[answerhappygod]

a) \(\frac{10}{R^2+L^2} (R cos⁡t – L sin⁡t + Le^{\frac{Rt}{L}})\)
b) \(\frac{10}{R^2+L^2} (R sin⁡t + L cos⁡t – Le^{\frac{Rt}{L}})\)
c) \(\frac{10}{R^2+L^2} (R sin⁡t – L cos⁡t + Le^{\frac{-Rt}{L}})\)
d) \(\frac{10}{R^2+L^2} (L cos⁡t – R sin⁡t + Le^{\frac{-Rt}{L}})\)