7. Apply Fourier series approach to determine the particular solution of dy +0.5y xfor -7T sxT...
4. (6 points) Determine the particular solution to the differential equation dy = x + 2y, dr y(0) = 1.
dy 7. Determine the general solution to : x = x+y dx 8. Solve the DE (x - y)dx +(y – x)dy dy 9. Determine the general solution to : x? + 3xy = dx dy 10. Determine the general solution to : xy = 4x² + y2 dx 1 X
Question Three: (7 marks) (a) Find the general solution of the following homogeneous equation. (b) Apply the method of Undetermined Coefficients to write ONLY the form of the particular solution of the following nonhomogeneous equation "-2y+5y 24re* cos(2x).
Question Three: (7 marks) (a) Find the general solution of the following homogeneous equation. (b) Apply the method of Undetermined Coefficients to write ONLY the form of the particular solution of the following nonhomogeneous equation "-2y+5y 24re* cos(2x).
Determine the form of a particular solution of the equation. 4, NA+B+ Ct+D)+l u-AB2+C+D+ Ee13 up-A+ B+Ee13) Find the general solution of y" 14y' +58y 0. y- ce cos(31) +ce sin(3) y-ce cos(3t) + eze 'sin(31) y ce cos(3t) + ce"sin(3t) y-cje"cos(3t) + czesin(3t) -7t 7t Find the general solution ofy"-3'-28y-0. y(t) = cer + cze-41 Find the general solution ofy"- 130y 0. JC1 + c2e130r ycie +te130r Find the general solution of y"-30y' 225y 0. cote 15t 15t 15t...