Is that possible to solve the following differential equation by using laplace transform?
$$y''-t^2y'+y=e^{2t};\quad y(0)=1,\quad y'(0)=1$$
??
I knew that if there is coefficient except $1$ with the variable $y$ , then laplace transform can't be derived.
MATLAB gives the solution in terms of Heun Triconfluent function.