ah! you're right. distribute the B into the the parenthesis. I knew it was something so simple otherwise he wouldn't have glossed over it. lol.TSny said:B can be "absorbed" by the arbitrary constants C and D.
Yes. If a boundary condition forces a constant factor of a term to be zero, then you drop that term. Otherwise, keep the term.grandpa2390 said:just one last question. so B^e^-kx we keep because the constant is not equal to zero?
because the next part we solve for Y, and D ends up being 0 but we keep Csin(ky) which equals 0 because sin(0)=0. so we keep that one but eliminate the part where D=0.
so we keep the part where the constant is not equal to zero?
There are various methods for solving differential equations, including separation of variables, substitution, and undetermined coefficients. Your professor likely has a preferred method or set of methods that they teach and use in their research.
Becoming an expert in any field, including differential equations, takes years of studying, practice, and dedication. Your professor likely pursued higher education, conducted research, and gained experience in the field to become an expert in differential equations.
Every scientist has their own unique inspiration and reasons for studying a particular subject. Your professor may have been fascinated by the applications of differential equations, or they may have been drawn to the challenge and complexity of the subject.
Differential equations are used in a wide range of scientific fields, including physics, engineering, and biology. Your professor may use differential equations to model and predict real-world phenomena in their specific area of research.
Your professor likely has a wealth of knowledge and experience in solving differential equations. They may recommend practicing regularly, seeking help from classmates or tutors, and familiarizing yourself with different methods and techniques for solving these equations.