Thursday, 2 February 2017

Solve the first-order differential equation

Given


when the first order linear ordinary Differentian equation has the form of



then the general solution is ,



so,




on comparing both we get,



so on solving with the above general solution we get:


y(x)=


=

Given


when the first order linear ordinary Differentian equation has the form of



then the general solution is ,



so,




on comparing both we get,



so on solving with the above general solution we get:


y(x)=


=


first we shall solve



as we know  


So, proceeding further, we get


y(x) =


=


=


=


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