(a)

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Step 1:

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The differential equation is $\"\"$ .

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Rewrite the equation.

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$\"\"$ .

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Apply integration on each side.

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$\"\"$ .

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Consider the integral $\"\"$ .

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Solve the integral using substitution method.

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Consider $\"\"$ .

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

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$\"\"$

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$\"\"$

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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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Appy formula : $\"\"$ .

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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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Subst

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Step 2:

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Consider $\"\"$ .

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Solve the integral using substitution method.

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Consider $\"\"$ .

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

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$\"\"$

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$\"\"$

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$\"\"$

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If $\"\"$ then $\"\"$ .

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

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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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Step 3:

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The integral is $\"\"$ .

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

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$\"\"$

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Therefore, the general solution is $\"\"$ .

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Solution:

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The general solution is $\"\"$ .

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(b)

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The differential equation is $\"\"$ .

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Rewrite the equation.

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$\"\"$

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$\"\"$

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$\"\"$ .

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Apply integration on each side.

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$\"\"$ \ \ Apply formula : $\"\"$ .

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$\"\"$

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Apply formula : $\"\"$ .

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$\"\"$

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$\"\"$

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Therefore, the general solution is $\"\"$ .

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Solution:

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The general solution is $\"\"$ .

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