3) Solve the initial value problems c) R? + (R/t) = (2/(1+t2 )) , R(1) =...

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Advance Math

3) Solve the initial value problems

c) R? + (R/t) = (2/(1+t2 )) , R(1) = ln 8.

e) ) cos ?v? + v = 3 , v(?/2) = 1.

5) Express the general solution of the equation x ? = 2tx + 1 interms of the erf function.

7) Solve x ?? + x ? = 3t by substituting y = x ?

9) Find the general solution to the differential equation x ? =ax + b, where a and b are constants, first by separation ofvariables, and second by integrating factors

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