Mathematics, 14.01.2020 06:31, leannamat2106
Find the general solution of the given differential equation. x dy dx − y = x2 sin(x) y(x) = cx−xcos(x) correct: your answer is correct. give the largest interval over which the general solution is defined. (think about the implications of any singular points. enter your answer using interval notation.) incorrect: your answer is incorrect. determine whether there are any transient terms in the general solution. (enter the transient terms as a comma-separated list; if there are none, enter none.)
Answers: 3
. This means the largest interval on which a solution can exist is either 
or 
.
is a solution to the ODE, then any term that vanishes as 
(or 
, depending on which interval above is used) is a transient term.![\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac yx\right]=\sin x\implies\dfrac yx=C-\cos x\implies y=Cx-x\cos x](/tpl/images/0454/1067/ea82c.png)
will oscillate between -1 and 1, so 
will oscillate between 
, so the limit of 
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Find the general solution of the given differential equation. x dy dx − y = x2 sin(x) y(x) = cx−xcos...
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