Question

Use the substitution y = u- 2x to find the general solution of the equation
dy/dx = -(8x + 4y +1) / (4x + 2y+ 1)

Answer 1

did u substitute and try to solve?

Answer 2

what do u get after substituting y=u-2x in the expression?

Answer 3

@Silverlark2 ?

Answer 4

u=y+2x
so 8x+4y=4u
and 4x+2y= 2u

Answer 5

differentiate y=u-2x wrt x\[\frac{dy}{dx}=\frac{du}{dx}-2\]

Answer 6

ya this is a simpler way..

Answer 7

make all these substitutions and integrate

Answer 8

ok i think i got it! thanks to both :)

Answer 9

welcome!