Consider the following initial value problem: ?? ? 2?? = ?? ? 2? + 3 ??...

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Advance Math

Consider the following initial value problem: ?? ? 2?? = ?? ? 2?+ 3 ?? ?(0) = 6

1. Write the equation in the form ?? ?? = ?(?? + ?? + ? ), where?, ?, ??? ? are constants and ? is a function.

2. Use the substitution ? = ?? + ?? + ? to transfer the equationinto the variables ? and ? only.

3. Solve the equation in (2).

4. Re-substitute ? = ?? + ?? + ? to write your solution in termsof ? and ?.

5. Use the initial condition to write the solution for thisinitial value problem.

6. Discussion and conclusion.

please share the solution with explanation as it mentioned inpart 6.

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