Finding the general solution from a given particular solution.

for http://webwork2.math.ucsb.edu/webwor...09fa7a1871.png One solution of this differential equation is http://webwork2.math.ucsb.edu/webwor...881b1bd471.png Using this information, what is the general solution of the DE?

y(t) = ?

Straight-line solution?!?!?

Quote:

Originally Posted by

**chisigma** The general solution of the 'incomplete equation' $\displaystyle y^{'} + y =0$ is $\displaystyle y_{g}(t)= c\cdot e^{-t}$. The particular solution of the 'complete equation' $\displaystyle y^{'} + y = t$ You know is $\displaystyle y_{p} (t) = e^{-t} + t -1$, so that the general solution of the 'complete equation' is...

$\displaystyle y(t)=y_{g} (t) + y_{p} (t)= (1+c)\cdot e^{-t} + t -1$

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$

sorri i accidently posted the wrong question lol i meant to post this one:

for:

http://webwork2.math.ucsb.edu/webwor...09fa7a1871.png What is the straight-line solution of this DE?