What is the solution for 1-x^2=-(4xydy)/(dx) ?

The solution for 1-x^2=-(4xydy)/(dx) is y=(sqrt(x^2-2ln(x)+c_{1)})/2 ,y=-(sqrt(x^2-2ln(x)+c_{1)})/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1-x^2=-(4xydy)/(dx)

1 - x^{2} = - \frac{4 x y d y}{d x}

y = \frac{x ^{2} - 2 ln ( x ) + c _{1}}{2}, y = - \frac{x ^{2} - 2 ln ( x ) + c _{1}}{2}

Solution steps

1 - x^{2} = - \frac{4 x y d y}{d x}

Solve separable ODE:

y = \frac{x ^{2} - 2 ln ( x ) + c _{1}}{2}, y = - \frac{x ^{2} - 2 ln ( x ) + c _{1}}{2}

y = \frac{x ^{2} - 2 ln ( x ) + c _{1}}{2}, y = - \frac{x ^{2} - 2 ln ( x ) + c _{1}}{2}

\frac{d y}{d x} = 2 + 3 y

\frac{d y}{d x} + 3 x y = 10 x, y (0) = 5

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

y^{^{'}} = x^{2} y + x^{2}

y^{^{'}} = y - y^{3}, y (0) = 2

What is the solution for 1-x^2=-(4xydy)/(dx) ?
The solution for 1-x^2=-(4xydy)/(dx) is y=(sqrt(x^2-2ln(x)+c_{1)})/2 ,y=-(sqrt(x^2-2ln(x)+c_{1)})/2