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Class 9 Homework-

Input-output relations: Consider a linear equation

u+c(t)u=d(t).

In many engineering and experimental sciences, the function d is called an “input” and the solution u is termed as an “output” corresponding to the input d. In the following cases, determine the output u, which is zero at t=0:

(a) u+3u=5;

(b) u+2u=et ;

(c) u+2u=f(t), where f(t)={1, for t<0,2, for t0.




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