Differential Equations

First- and second-order equations, direction fields, Euler's method, models, and oscillations.0/4 mastered

1 / 4

The equation

(2xy + 3)\,dx + (x^{2} - 1)\,dy = 0

is exact. Find the potential function

F(x, y)

with

F_x = 2xy + 3

F_y = x^{2} - 1

and

F(0, 0) = 0

; the solutions are then the curves

F(x, y) = C

Your answer

#4146