hello friends i really need some help with this..

j0mppaz

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Joined
Oct 29, 2014
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1
solve one of the unknown functions:

x'(t)-y(t)=t
x(t)-y'(t)=1

x(0)=2, y(0)=1

that question is like my nemesis :evil:

is that even possible to solve, i can't understant how? can someone wiser solve that for me that i can try to solve my other math problems then by myself :) i would be very grateful! thank you!
 
Last edited:
You have x'- y= t and x- y'= 1.

We can write the second equation as y'= x- 1.

Differentiate the first equation again: x''- y'= 1. So x''- (x- 1)= x''- x+ 1= 1, x''- x= 0. Solve that equation for x. Then use y= x'- t to find y.
 
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