Consider the differential equation y' = x -y , x>0 a) Find a general solution to the differential equation. b) Find the particular solution to the differential equation, satisfying y(2) = 3.

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A: The given question has been solved in detail

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: y'=yxdydx=yxdyy=dxxlny=lnx+lnclny−lnx=lnclnyx=lncyx=cy=cx        ......( Differential equation )

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.