Question

In: Advanced Math

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

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 equation into the variables ? and ? only.

3. Solve the equation in (2).

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

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

6. Discussion and conclusion.

please share the solution with explanation as it mentioned in part 6.

Solutions

Expert Solution

Consider the following initial value problem;

Colby Messinger answered 1 year ago
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