(a)

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The diffrential equation is $\"\"$ .

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$\"\"$ .

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Initial condition is $\"\"$ .

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The value of $\"\"$ is $\"\"$ .

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$\"\"$ .

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Euler Method : $\"\"$ .

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$\"\"$ .

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Substiute the values $\"\"$ and $\"\"$ .

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$\"\"$ .

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Substiute the values $\"\"$ and $\"\"$ .

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$\"\"$ .

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Substiute the values $\"\"$ and $\"\"$ .

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$\"\"$ .

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Substiute the values $\"\"$ and $\"\"$ .

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$\"\"$ .

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Substiute the values $\"\"$ and $\"\"$ .

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$\"\"$ .

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Substiute the values $\"\"$ and $\"\"$ .

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$\"\"$ .

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Substiute the values $\"\"$ and $\"\"$ .

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$\"\"$ .

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Substiute the values $\"\"$ and $\"\"$ .

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$\"\"$ .

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Substiute the values $\"\"$ and $\"\"$ .

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$\"\"$ .

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Substiute the values $\"\"$ and $\"\"$ .

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$\"\"$ .

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Substiute the values $\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$

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(b)

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The diffrential equation is $\"\"$ .

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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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$\"\"$

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Multiply each side by negative one.

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$\"\"$

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$\"\"$ .

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The general solution is $\"\"$ .

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Substiute the values $\"\"$ in the general solution to find the value of $\"\"$ .

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$\"\"$

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Passing throught the point $\"\"$ .

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Using a step of $\"\"$

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

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Therefore, $\"\"$ .

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$\"\"$

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(c)

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Compare the solutions at $\"\"$ value.

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The solution at $\"\"$ is $\"\"$ .

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The solution at $\"\"$ is $\"\"$ .

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Error : $\"\"$ .

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$\"\"$

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(a)

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$\"\"$ .

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(b)

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The general solution is $\"\"$ .

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(c)

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Error : $\"\"$ .