Solve The Differential Equation X Y 2 X Dx Y X 2 Y Dy 0 Youtube
Y ′ = ( x y) 2 The equation above is in the form y ′ = P ( x) y 2 Q ( X) y C ( x) which is known as Ricatti equation I set z = x y so d z d x = d y d x 1 d y d x = d z d x − 1 ( 1) From the initialRewrite the equation as x2 −x = y x 2 x = y Subtract y y from both sides of the equation Use the quadratic formula to find the solutions Substitute the values a = 1 a = 1, b = −1 b = 1, and c =
