A Differential Equation is an equation with a function and one or more of its derivatives Example We can try to factor x 2 −2xy−y 2 but we must do some rearranging first Change signs y 2 2xy−x 2 = − 1 k 2 Replace − 1 k 2 by c y 2 2xy−x 2 = c Add 2x 2Step 1 1 of 4 In order to find a linearly independent solution of the differential equation ( x 2 − 1) y " − 2 x y ′ 2 y = 0 (x^2 1) \ y" 2x \ y' 2y = 0 ( x 2 − 1) y " − 2 x y ′ 2 y = 0 , we have to reduce the order using theorem (47) SinceSolution for 2x^22y^2=x^22xyy^2 equation Simplifying 2x 2 2y 2 = x 2 2xy y 2 Reorder the terms 2x 2 2y 2 = 2xy x 2 y 2 Solving 2x 2 2y 2 =
Worked Example Implicit Differentiation Video Khan Academy
