Question $1(25$ points$)$

Use variation of parameters to find the complete solution of the following differential equation with the initial conditions given

Page $1$ of

irmation

$(4D^2-1)y(x)=x{e}^{\frac{2}{2}}$

with initial conditions

$y(0)=1,$&$,y^{\text{'}}(0)=0$

Hint: Remember that the equation is not in normal form, and look for the coefficient of the highest derivative when solving for the particular solution.I$\text{'}$m