$\"\"$

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The differential equation is $\"\"$ and initial condition is $\"\"$ .

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Rewrite the differential equation as $\"\"$ .

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The differential equation is a first order linear differential equation.

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

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Compare $\"\"$ with standard form of differential equation.

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

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$\"\"$

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First find $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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

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Substitute $\"\"$ and $\"\"$ in above equation.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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

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Initial condition is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in the solution of the differential equation.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in the solution of the differential equation.

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$\"\"$

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$\"\"$

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$\"\"$ .