8. Solve the differential equations given below, stating clearly the technique used to solve. (a) Solve and write out the general solution for: dy dx 1 y2+y+1 [6 marks] (b) The current i measured in amperes of an inductor-resistor circuit with applied voltage 10(1 - e-0.1t) satisfies the equation: di 0.2 + 103i = 10(1 e 10(1 e-0.16) dt where time is measured as t seconds. Write out the general solution for the current i at time t. Express the solution as an explicit function of t. [9 marks]