${?}^{[1]}$ For the circuit given on right,

a$)$ Find $i_L({}^{+}),v_C({}^{+}),$ and $v_R({}^{+}),$

b$)$ Find diL$\frac{0^{+}}{d}t,dvC\frac{0^{+}}{d}t,$ and $dvR\frac{0+}{d}t,$

c$)$ Find $iL(),vC(),$ and $vR().$