Erercises. Determine whether the equation is homogeneous, if it is, solve it. If there is an initial value, find the particular solution satsifying the initial value. (1) y = ry +y? (2) y = -y(-1) 2...

Homogeneous differential equations I need this Answer at half time Quickly. Please Q9 only


Extracted text: Erercises. Determine whether the equation is homogeneous, if it is, solve it. If there is an initial value, find the particular solution satsifying the initial value. (1) y = ry +y? (2) y = -y(-1) 2 (3) ry' = y - rež (4) ry' -y = Vr2 + y? (5) ry' - y = 2y(ln y- In r) fip (6) (r2 + y?) = 5y dr y? - 3.ry – 5r2 (7) y = y(1) = -1 (8) (23 + a?y +ry²)y/ = ry? + 2y (9) (y - 2r)y' = y