Solve question a and b

LINEAR EQUATIONS General form : 9 ( x) dy + b ( x ) y = c(x ) Method of solution : 1. Arrange the ean . to form dy + p ( x) y = q (x ) where p (x)= b (x ) and q ( x ) = c (x ) 9 (x ) arx ) 3. obtain the integrating factor: p = asp(20) de 3 . Multiply the integrating factor with ist equation to become dy p + p ( x ) y p = q ( x ) p dx 4 . The equation can be written in the form of 9 { y p 3 = 9 ( x ) p da 5 - simplify to yp = f q ( x ) pdze 6- the general solution of linear equation is y = I f q (x ) p dx EXERCISE Find the general solution of the following linear equations. 4) x dy - y = x sin x Answer : y = - x cos x + cx dx dy + xy = xe x /2 Answer : y =( Lex + c ) x 72 dx 2