$\"\"$

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The first order differential equation is $\"\"$ .

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The standard form of linear differentiation equation is $\"\"$ .

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Solve the differential equation by converting into linear differentiation 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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$\"\"$ .

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Multiply $\"\"$ on each side.

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Substitute $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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$\"\"$ .

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The above equation is in the form of linear differentiation equation $\"\"$ .

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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 $\"\"$ .

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

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$\"\"$

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Find $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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The solution of linear differentiation equation is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$ .