What is the solution for (y-x2)dx+(x+y2)dy=0 ?

The solution for (y-x2)dx+(x+y2)dy=0 is y=(-x+sqrt(5x^2+c_{1)})/2 ,y=(-x-sqrt(5x^2+c_{1)})/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(y-x2)dx+(x+y2)dy=0

(y - x 2) d x + (x + y 2) d y = 0

y = \frac{- x + 5 x ^{2} + c _{1}}{2}, y = \frac{- x - 5 x ^{2} + c _{1}}{2}

Solution steps

(y - x 2) d x + (x + y 2) d y = 0

Solve exact ODE:

y = \frac{- x + 5 x ^{2} + c _{1}}{2}, y = \frac{- x - 5 x ^{2} + c _{1}}{2}

y = \frac{- x + 5 x ^{2} + c _{1}}{2}, y = \frac{- x - 5 x ^{2} + c _{1}}{2}

\int (\frac{- 4}{x}) d x

\int \frac{1}{n} sin (n x) d x

\frac{104}{s ^{2} + 8 s + 52}

\frac{d}{d x} (\frac{x ^{3} - 7}{x ^{2} + 2})

What is the solution for (y-x2)dx+(x+y2)dy=0 ?
The solution for (y-x2)dx+(x+y2)dy=0 is y=(-x+sqrt(5x^2+c_{1)})/2 ,y=(-x-sqrt(5x^2+c_{1)})/2