Answer to Question #201032 in Differential Equations for reeg

Question

Show complete solution. Use equation function.

1)Find the general solution of xdx = 9x^2x -ydy

Answer 1

$xdx=9x^2dx-ydy$

$\int ydy=\int(9x^2-x)dx$

$\dfrac{1}{2}y^2=3x^3-\dfrac{1}{2}x^2+\dfrac{1}{2}C$

$y^2=6x^3-x^2+C$