Q. 235.0( 1 Vote )

Solve the following differential equations:


Answer :

Given






This is a first order linear differential equation of the form



Here, P = y–2 and Q = y–3


The integrating factor (I.F) of this differential equation is,




We have





Hence, the solution of the differential equation is,





Let


[Differentiating both sides]






By substituting this in the above integral, we get




Recall





xt = –{t log t – t} + c


xt = –t log t + t + c








Thus, the solution of the given differential equation is


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