@TSLee If you believe what you wrote, that "the textbook solution doesn't make sense that iL(t) at t = 0 should start from 0", then there's no point updating your solution. It will be wrong. They get to tell you what it starts at, as the inductor may have any arbitrary, specified value at \$t=0\$. Just as the voltage difference across the capacitor may also have any arbitrary, specified value at \$t=0\$. They both can individually be anything they want them to be at \$t=0\$ and it's still all valid and works.
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