Find the solution of the following Second Order Differential Equations.4y4y′+y=0
Find the solution of the following Second Order Differential Equations.
Answer & Explanation
Convert into characteristics equation.
Thus, the solution of differential equation
The auxiliary equation of this equation is:
On comparing this equation with the general quadratic equation,
Now, use the quadratic form to find the value of m.
Since values of m are equal, then the solution of the given differential equation is:
Where, are arbitrary constant.