$\"\"$

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The differential equation is $\"\"$ .

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Initial function is $\"\"$ .

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Perform Euler $\"\"$ s method for $\"\"$ .

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Step size is $\"\"$ .

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Euler $\"\"$ s Method :

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

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$

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$\"\"$

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Simillarly,

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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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$\"\"$

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(b)

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The differential equation is $\"\"$ .

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Rewrite the function.

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$\"\"$

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Apply integral on each side

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$\"\"$

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Integral formula: $\"\"$ .

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Power rule of integration: $\"\"$ .

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$\"\"$

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Apply exponential on each side

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$\"\"$ Substitute $\"\"$ in the integral function.

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$\"\"$

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Substitute $\"\"$ in the integral function.

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$\"\"$

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

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$\"\"$

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$\"\"$

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(c)

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Find error.

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The value of particular solution at $\"\"$ using Eulers method is $\"\"$ .

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The value of the particular solution at $\"\"$ is $\"\"$ .

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Error is $\"\"$ .

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$\"\"$

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(a) The value of particular solution at $\"\"$ using Eulers method is $\"\"$ .

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(b) The value of the particular solution at $\"\"$ is $\"\"$ .

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(c) Error is $\"\"$ .

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