What is the solution for (dy)/(dx)= x/(y+x^2y) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)= x/(y+x^2y)

\frac{d y}{d x} = \frac{x}{y + x ^{2} y}

y = ln (1 + x^{2}) + c_{1}, y = - ln (1 + x^{2}) + c_{1}

Solution steps

\frac{d y}{d x} = \frac{x}{y + x ^{2} y}

Solve separable ODE:

y = ln (1 + x^{2}) + c_{1}, y = - ln (1 + x^{2}) + c_{1}

y = ln (1 + x^{2}) + c_{1}, y = - ln (1 + x^{2}) + c_{1}

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