In Problems 38 and 39, use the elimination method of Section to find a general solution to the given system.
The general solution is
A differential equation is an equation that contains one or more functions with its derivatives.
It is given that
Differentiating equation (1) we have:
Substituting value we get:
The auxiliary equation is given by:
The homogenous equation is :
So, the general solution is given by
Differentiating we have:
Substituting value & comparing we get:
Now we need to substitute value of in .
Substituting values we get:
Hence the solution of equation is given by
Therefore the solution is :
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