solve heres what i did: roots are : -2, 5 General solution: i need help applying the condition
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Originally Posted by viet solve heres what i did: roots are : -2, 5 General solution: i need help applying the condition The initial condition gives: and the condition gives: So now you have a pair of simultaneous equations for and to solve. RonL
Originally Posted by viet solve heres what i did: roots are : -2, 5 General solution: i need help applying the condition For the record, the characteristic equation factors as Given that you have the solution to the differential equation correct I would guess this is merely a typo? -Dan
yeah it was a typo, thanks for pointing that out topsquark
Originally Posted by CaptainBlack The initial condition gives: and the condition gives: So now you have a pair of simultaneous equations for and to solve. RonL can you explain how to solve that? im pretty much lost.
Originally Posted by viet can you explain how to solve that? im pretty much lost. This is just a linear system. Say, Add, And so on .... The same idea here.
Originally Posted by CaptainBlack The initial condition gives: and the condition gives: So now you have a pair of simultaneous equations for and to solve. RonL To solve these multiply the firs equation by 2 to get: Now add the third equation to this (that is add the left hand sides, which sum is equal to the sum of the right hand sides): or: so: Now substitute this back into the first equation to get: RonL
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