Solving System of Two Differential Equations

[tsslaporte]

Homework Statement

Find General Solution of the Following System

(2D+5)x - (2D+3)y = t

(D-2)x + (D+2)y = 0


https://dl.dropboxusercontent.com/u/32294083/Emath/New%20Doc%203_1.jpg


Using the Quadratic Formula I get nothing so I am not sure what the complementary solution is.

After this what do I do to find the General Solution?

 

[Ray Vickson]

Homework Statement

Find General Solution of the Following System

(2D+5)x - (2D+3)y = t

(D-2)x + (D+2)y = 0


https://dl.dropboxusercontent.com/u/32294083/Emath/New%20Doc%203_1.jpg


Using the Quadratic Formula I get nothing so I am not sure what the complementary solution is.

After this what do I do to find the General Solution?

Start over: your "characteristic equation" is wrong, so far as I can make out. You really should type this stuff out; your writing is borderline unreadable.