determine whether the following ordinary differential equations are (a) nonlinear (B) linear time-varying or (c) linear time-invariant

dy/dt +(e^2t)y=0 ?

Question

determine whether the following ordinary differential equations are (a) nonlinear (B) linear time-varying or (c) linear time-invariant 

dy/dt +(e^2t)y=0 ?

anonymous · Answer

Use integrating factor method to solve this function.
Integrating factor is $$u(t)=e^{\int\limits_{}^{}e ^{2t}dt}$$
Next, solve this function to find the value of y given by:
$$y=\frac{ c }{ u(t) }$$; where c is a constant.
Then try to determine whether ur answer is linear or not.