$\"\"$ \ \

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The equation is $\"\"$ . \ \

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Substitute $\"\"$ . \ \

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$\"\"$

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Substitute resistance $\"\"$ , capacitance $\"\"$ , voltage $\"\"$ . \ \

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$\"\"$

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$\"\"$

\

$\"\"$ .

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The equation is in the form of $\"\"$ .

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The differential equation is a first order linear differential equation.

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Solution of the first order linear differential equation is $\"\"$ is $\"\"$ .

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Here $\"\"$ and $\"\"$ .

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Find $\"\"$ .

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$\"\"$

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$\"\"$ .

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The solution of differential equation is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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Apply parts of integration formula: $\"\"$ .

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Consider $\"\"$ and $\"\"$ . \ \

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Apply integral on each side.

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$\"\"$

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$\"\"$ .

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Substitute corresponding values in parts of integration formula.

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$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Substitute $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

\

$\"\"$ . \ \

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The charge is $\"\"$ .

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$\"\"$ \ \

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

\

$\"\"$

\

$\"\"$ .

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The current is $\"\"$ . \ \

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$\"\"$

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$\"\"$ .

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$\"\"$ . \ \