Find the particular solution to y ' = 2sin(x) given the general solution is y = C - 2cos(x) and the initial condition y of pi over 3 equals 1 . (5 points) -2cos(x)
closeIncorrect
3 - 2cos(x)
checkCorrect
2 - 2cos(x)
-1 - 2cos(x)

Step-by-step explanation:

We have the differential:

With the general solution:

And we want to find the particular solution such that it satisfies the initial condition:

So, we have:

Substituting π/3 for x and 1 for y yields:

Solve for C. Evaluate:

Simplify:

Hence:

Therefore, our particular solution will be:

Hence, our answer is C

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step-by-step explanation: