Answer Happy

DIFFFERENTIAL EQUATIONS Problem 1. Find the general integral of the given equation (the answer should be presented in the form y(x;y)=C). Problem 2. Solve the Cauchy problem. Problem 3. Find the general integral of the given equation. Problems 4 and 5. Find the general solution of the given equations. Problems 6 and 7. Find the general solution of the corresponding homogeneous equation and construct the particular solution of the non-homogeneous equation (do not compute the coefficients). Problem 8. Solve the Cauchy problem.

Problem set #9 1. 6xdx – 6ydy = 3x²ydy – 2xy_dx. у 2. y' + + , () = x?, y(1) = 1. 2x = х X 3. xy? + |dx + x² dy = 0. 2 23 4. y" + 3y = 6x2 -1. = 5. y" – 4y = 8sin 2x – 4 cos 2x + 24e2x. 6. y" – 6y' +9y = 5e3x – x2. 7. y" +5y" +6y' = (2x – 1)e -3x – 4sin 2x +3. T TT 8. y" + y = 4cot x,y| 4,y 4. 2 2.