What is the general solution of the DE with n linearly independent solutions u1(t), …., un(t) of a nth order linear homo
Posted: Thu Jul 14, 2022 9:41 am
a) \(u(t)=u_1 (t)+⋯+c_{n+1} u_n (t)=∑_{k+1}^n=c_{k+1} u_k (t)\)
b) \(u(t)=u_1 (t)+⋯+u_n (t)=∑_{k=1}^nu_k(t) \)
c) \(u(t)=c_1 u_1 (t)+⋯+c_n u_n (t)=∑_{k=1}^n c_k u_k (t) \)
d) \(u(t)=c_0 u_0 (t)+⋯+c_n u_n (t)=∑_{k=0}^∞c_k u_k (t) \)
b) \(u(t)=u_1 (t)+⋯+u_n (t)=∑_{k=1}^nu_k(t) \)
c) \(u(t)=c_1 u_1 (t)+⋯+c_n u_n (t)=∑_{k=1}^n c_k u_k (t) \)
d) \(u(t)=c_0 u_0 (t)+⋯+c_n u_n (t)=∑_{k=0}^∞c_k u_k (t) \)