You should be able to use an integrating factor or a simple separation of variables to solve this DE.
for this ODE- , do I need to use a Fresnel integral to solve it? or can it be simplified another way from the standard form y(t)=cexp(-I)? it can be expanded to the expression-
thanks very much!
Hi mathlover10 !
Any method used to solve the ODE will not change the result. If one method leads to a Fresnel integral, do not expect something else from another method.
If you don't want a closed form, such as a Fresnel integral, it's up to you to search an infinite series instead of.