8 UT a) The followingential equation is given by U UTMU &UTM UTM 3 dy ک اشی مشی Use the substitution y2 = reduced to a h

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8 UT a) The followingential equation is given by U UTMU &UTM UTM 3 dy ک اشی مشی Use the substitution y2 = reduced to a homogeneous equation S +x+y² = dI z-x to show the above equation can be 8 UTM 5 UTM 5 UTV &UTM b) Given an RL circuit with the equation MUTM 8 UTM/ L- dx Hence find the solution for the original cation. TM 8 UTM 5 UT dt = UTM UTM 8 = 0. x+z x-Z I(t) = H CTM UTM UTM + RI = 900, i. Show that the solution of the above equation is UTM AUTH 900 R AUTM & UTMUT (10 marks) UTM where L is the inductance, R is the resistance and 900 is the voltage source. + Ce-t 6 UTM BBB 1124% + 3 UTM ^ B 5 UTV ET ENG US