Question

solve :dy/dx -2y/x=y4

Answer 1

hi,
When a differential eq is in the form dydx=Ay+Bx+C

, I always solve it this way:

Assume y

is of the form mx + b where m and b

are arbitrary constants. Then, following your example:

Re-write your equation as m=2(mx+b)+x(because y = mx + b and m is the slope of the line.) Rearrange it so it becomes x(function of m)+(constant)b. In your case, 0x+m=x(2m+1)+2b. This is like equating real and imaginary parts. Split the equation into parts so it becomes 0x+m=x(2m+1)+2b. I did this so that we can equate coefficients of x and solve for m, then equate the green parts and solve for b. In this case,2m+1=0 and m=2b.

The solution is then, y=−12x−14.

HOPE IT HELPS YOU..
MARK ME AS AN BRAINLIEST THANKS

Answer 2

I think it might be -4y+xd