Saturday, 5 March 2016

Solve the first-order differential equation

Given  


when the first order linear ordinary differential 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...

Given  


when the first order linear ordinary differential 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 then we get


since x must be greater than 0, or else is undefined.



Proceeding further with


y(x) =


 =


 =


 =


 =



So,

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