State whether each differential equation is homogeneous or nonhomogeneous. Also

Question

State whether each differential equation is homogeneous or nonhomogeneous. Also stare the order of each equation. 3y^(4) - 7y"' + 2y = 0 y" - 7y' + 3y = 2 y"' - 5y' + 2y + 6 = 0 y^(5) - 6y"' - y = 0 4y" - y' + 3y = 0 y"' - y + 2 = 0 y"' - y" - 5y = 3 y" - 2y' = 3y solve each differential equation. d^2y/dx^2 -5 dy/dx - 14y = 0 d^2y/dx^2 + 4 dy/dx - 5y = 0 y" - 2y' - 8y = 0 y" - y' - 6y = 0 y" - y = 0 y" - 9y = 0 d^2y/dx^2 - 3 dy/dx = 0 d^2y/dx^2 + 2 dy/dx = 0 2 D^2y - 13Dy + 15y 3D^2y + 2Dy - 5y = 0 3 d^2y/dx^2 - 7 dy/dx + 2y = 0 2y" + y' - 15y = 0 Find the particular solution of each differential equation subject to the given conditions. y" - 4y' = 0; y = 0 y = 3 and y' = 4 when x = 0 y" + 3y' = 0; y = -1 and y' = 6 when x = 0 y" - y' - 2y = 0; y = 2 and y' = 1 when x = 0 y" + 3y' - 10y = 0; y = 7 and y' = 0 when x = 0 y" - 8y + 15y = 0; y = 4 and y' = 2 when x = 0 y" + y' = 0; y = 2 and y' = 1 when x = 1

Explanation / Answer

(1)It is homogeneous differential equation and having highest derivative four, hence it of order 4

(3)It is homogeneous differential equation and having highest derivative three, hence it of order 3.

(9)It is homogeneous differential equation and having highest derivative two, hence it of order 2.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---