Q. 48

Find the general solution for each of the following differential equations.



Answer :

Given Differential Equation :



Formula :


i)


ii)


iii)


iv)


v) General solution :


For the differential equation in the form of



General solution is given by,



Where, integrating factor,



Answer :


Given differential equation is




………eq(1)


Equation (1) is of the form



Where, and


Therefore, integrating factor is




………


General solution is



………eq(2)


Let,



Let, u=y and v= e-y



………



………


………


Substituting I in eq(2),





Therefore, general solution is



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