Differential equation system (Please HELP)

May 2010
3
0
Hi

In few hours I got an exam in Differential equations

1 really need help with these to differential equation systems (I am not sure how to solve them). Please help ,me !!!!!!!!!!!!!!!!!(Happy)

1)

x'+2x+3y=0

3x+y'+2y=2*e^(2t) , x=x(t), y=y(t)




2)

y1'= -2*y1-4*y2+1+4x

y2'= -y1+y2+(3/2)x^2


Thank you in advance for any help !!!!!!!
 
Mar 2010
280
122
\(\displaystyle y=-\frac{1}{3}(x'+2x)\)
\(\displaystyle y'=-\frac{1}{3}(x''+2x')\)
Please inserte this to the second equation.