en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

y = \frac{1}{1 - c _{1} x}

Solution steps

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

Solve separable ODE:

y = \frac{1}{1 - c _{1} x}

y = \frac{1}{1 - c _{1} x}

Popular Examples

integral of (3-18x)/(sqrt(64-9x^2))

\int \frac{3 - 18 x}{64 - 9 x ^{2}} d x

(dy)/(dx)=(b^2x)/(a^2y)

\frac{d y}{d x} = \frac{b ^{2} x}{a ^{2} y}

(\partial)/(\partial x)(e^{2x}+yln(x))

\frac{\partial}{\partial x} (e^{2 x} + y ln (x))

2y^{''}+y^'-10y=0,y(1)=5,y^'(1)=2

2 y^{^{''}} + y^{^{'}} - 10 y = 0, y (1) = 5, y^{^{'}} (1) = 2

derivative of (1/(x^2-3/(x^4))(x+5x^3))

\frac{d}{d x} ((\frac{1}{x ^{2}} - \frac{3}{x ^{4}}) (x + 5 x^{3}))

Frequently Asked Questions (FAQ)

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