I need to know how to find a particular solutions to an initial conditions. i know how to find the explicit solution of a differential equation but cannot remember how to find particular solutions. please show your working to help me understand. thanks

Problems (also attached):

Given the attached information:

1) So how do I find the corresponding particular solution that satisfies the initial condition y = 1 when x = 0. ?

2) What is the value of y given by this particular solution when x = 7? Give your answer to two decimal places. (Note that your calculator should be in radian mode for this calculation) why??

Therefore the corresponding explicit form of the general solution is,

1) So how do I find the corresponding particular solution that satisfies the initial condition y = 1 when x = 0. ?

If we know the general ...

Solution Summary

This solution is comprised of a detailed explanation to answer how do I find the corresponding particular solution that satisfies the initial condition y = 1 when x = 0 and what is the value of y given by this particular solution when x = 7.

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