4. Find the 6th order homogeneous linear equation whose general solution is: y = C1 cos t + C2 sin t + C3 t cos 2t + C4 t sin t + C5 t2 cos t + C6 t? sin t

Q: (D³ - 2D² - 5D + 6)y=e-2x

A: Given, D3-2D2-5D+6y=e-2x The auxiliary equation is…

Q: Consider (D3 -D) y=0. What are the roots of the auxiliary equation, and what is y? A m = 1, 1, 1; y…

A: Given : Differential equation (D3 - D)y = 0   To find : Roots of the auxiliary equation and…

Q: Solve: (24x y- 15x y + 10 sin a cosa cosy) da + (40 y - 12 y-5 sin² a sin y) dy = 0 O 8a* y-3a y-5…

A: