In: Advanced Math
Please make sure you solve both correctly.
1) Solve the given system of differential equations by systematic elimination.
| (2D2 − D − 1)x − (2D + 1)y | = | 8 |
| (D − 1)x + Dy | = | −8 |
((x(t),y(t))= ?
2)
Solve the given initial-value problem.
| dx |
| dt |
= y − 1
| dy |
| dt |
= −7x + 2y
x(0) = 0, y(0) = 0
x(t) = ?
y(t)= ?