(1)

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Step 1:

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The system of equations are

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$\"\"$

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Solve the equations.

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$\"\"$

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(2)

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The partial decomposition is

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$\"\"$

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$\"\"$

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Equate the $\"\"$ coefficients.

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$\"\"$

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Substitute $\"\"$ in remaining two equations.

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

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Substitute $\"\"$ in $\"\"$

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$\"\"$

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Substitute $\"\"$ in $\"\"$

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$\"\"$

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(3)

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Step 1:

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The partial fraction is

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$\"\"$

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Find the partial decomposition is

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$\"\"$

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$\"\"$

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Equate the $\"\"$ coefficients.

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$\"\"$

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Subtract $\"\"$ and constant coefficients equations.

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$\"\"$

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

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$\"\"$

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

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$\"\"$

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Substitute $\"\"$ in $\"\"$

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$\"\"$

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Substitute $\"\"$ in $\"\"$

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$\"\"$

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Solution:

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