Question: Determine if the following differential equation is exact. If it is, (1) find its general solution in explicit form. + 5x)dr + (In() 8)dy

Determine if the following differential equation is exact. If it is, (1)

Determine if the following differential equation is exact. If it is, (1) find its general solution in explicit form. + 5x)dr + (In() 8)dy = 0, x > 0. (2) Find the general solution of the following differential equations. (a) y" - 2y'-2y D0 %3D (b) 9y/"+6y+y 0 (c) y"-2y'+2y = 0 (3) Solve the initial value problem 9y" 12y + 4y = 0; y(0) = 2, y(0) = -1 %3D %3D (4) Find a particular solution of the differential equation y" + 2y/ + 5y = 3 sin(2t) (5) Find the general solution of the differential equation y" + 3y' + 2y = 2e-2t

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