Solve the following differential equation: (1 − 3/y + x)dy/dx + y = 3/x − 1?
Please help! Solve the following differential equation?
- Posted:
- 3+ months ago by Diko_Nihon
- Topics:
- maths, equations, calculus
Details:
Responses (1)
First, transform the equation to M(x,y) + N(x,y) y' = 0. And, we get (-3/x+1+y) + (-3/y+x+1) y' = 0. It is pretty clear that My(x,y) = -3ln(xy) + x + y =Nx(x,y), where Ψx (x,y) = -3/y +x+1, Ψy (x,y) = -3/x+1+y. Finally, the answer, of course, is -3ln(xy) + x + y= constant.