Write the system x′=e7tx−3ty+5sin(t), y′=7tan(t)y+5x−7cos(t) in the form

ddt[xy]=P(t)[xy]+f⃗ (t).

Use prime notation for derivatives and write x and x′, etc., instead of x(t), x′(t), or dxdt.

Question

Write the system x′=e7tx−3ty+5sin(t), y′=7tan(t)y+5x−7cos(t) in the form

ddt[xy]=P(t)[xy]+f⃗ (t).

Use prime notation for derivatives and write x and x′, etc., instead of x(t), x′(t), or dxdt.

anonymous · Answer

question not clear, can u please click n attach?

anonymous · Answer

of course

anonymous · Answer

http://i.imgur.com/TxQQt.jpg

mr.math · Answer

$$\left(\begin{matrix}x' \ y'\end{matrix}\right)=\left[\begin{matrix}e^{7t} & 5\ -3t & 7\tan{t}\end{matrix}\right]\left(\begin{matrix}x \ y\end{matrix}\right)+\left(\begin{matrix}5\sin{t} \ -7\cos{t}\end{matrix}\right)$$

anonymous · Answer

i think that should work,thanks so much

mr.math · Answer

No problem!

anonymous · Answer

yeah got the same as mr. Math  got

anonymous · Answer

then thank you too