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Question Number 6661 by Tawakalitu. last updated on 09/Jul/16

S o l v e t h i s e q u a t i o n b y r e d u c i n g i t f r o m n o n h o m o g e n e o u s

e q u a t i o n t o h o m o g e n e o u s e q u a t i o n

\frac{d y}{d x} = \frac{2 (x + y - 1)}{3 x + y + 1}

P l e a s e h e l p w i t h t h i s o n e t o o .

i w a s t r y i n g y o u r a p p r o a h b u t n o t t h e s a m e

t h a n k s f o r y o u r h e l p .

Commented by prakash jain last updated on 11/Jul/16

u = x + a

v = y + b

2 a + 2 b - 1 = 0

3 a + b + 1 = 0 \Rightarrow 6 a + 2 b + 2 = 0

4 a + 3 = 0 \Rightarrow a = - 3 / 4

b = 5 / 4

u = x - 3 / 4

v = y + 5 / 4

\frac{d v}{d u} = \frac{2 u + 2 v}{3 u + v}

Solve by substituting u / v = t