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Find the particular solution of the differential equation 4d²y/dx² -4dy/dx + y = 0 y(0)=0, y´(0)=1.

Please find the particular solution of the differential equation below satisfying the given initial conditions.

The equation needs to be put in standard form (s² + bs + c = 0). The roots need to be found, and then plugged into the appropriate general formula that satisfies whether b² + 4c is less than, greater than, or equal to zero. After finding the general solution, solve for the values of C given the initial conditions. Then rewrite the equation with those values.
Please show all details in the solution. Thank you

4d²y/dx² -4dy/dx + y = 0 y(0)=0, y´(0)=1

Solution Summary

A particular solution of a differential equation is found, formatted in an attached Word document.

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