MATH 1009 Lecture 22: CH6-Integration

Find the solution of y" + 8y' = 768 sin(8t) + 896 cos(8t) with y(0) = l and y'(0) = 7. y = 69/8+43/8e^(-8t)-13cos(8t)+25/4sin(8t)

B)2 9 cos(t) _ cos(90 y = 9 sin(t)-sin(9t) 6 4 3 2 t 32 -1 0 12 3 F)2-3 sin(t) y = cos(t) 6 43 2

6. Problem (43 Text) Evaluate df/dx and df/dy at point (n, 0): That is x =π and y =0 f(x, y) = ey sin(x)