The differential equation is and intial condition is .

Eulers method:

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and .

(a)

(i)

Find the value when .

The initial condition is .

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The function is .

Substitute  and in .

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Substitute , and  in .

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(ii)

Find the value when .

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The function is .

Substitute  and in .

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.

.

.

Substitute , and  in .

.

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.

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(a) . \ \

(b) .