Question

8. The genreral solution of the differential equation contains
(A) complimentry function
(B) particular integral​

Answer 1

Answer:

(A) - The general solution of (4) is called the complementary function and will always contain two arbitrary constants. ... (d) is constant coefficient and homogeneous. Note: A complementary function is the general solution of a homogeneous, linear differential equation.

(B) - Theorem The general solution of the ODE a(x) d2y dx2 + b(x) dy dx + c(x)y = f(x), is y = CF + PI, where CF is the general solution of homogenous form a(x) d2y dx2 + b(x) dy dx + c(x)y = 0, called the complementary function and PI is any solution of the full ODE, called a particular integral.

Step-by-step explanation:

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