Non homogeneous equations of first degree in x and y The

Last updated: 1/5/2023

Non homogeneous equations of first degree in x and y The equatio be reduced to the homogeneous form by suitable substitution We have three po Case l b az b2 Then set x u h y v k h and k are constants dy dv dx du Our equation becomes These give dv du a u b v a h b k c a u b v a h b k C Suppose h k are chosen such that a h b k c 0 and a h b k C 0 then y y x kxy as obtained before Case II a a dv a u b v du a u b v which is homogeneous and can be solved by v tu Note that the simulta a solution because Now let 2 b b a2 a b a b then we can t have a unique solution to b m i e a1b2 a b 0 b becomes Cere