en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

y = tan (\frac{x ^{2}}{2} + c_{1})

Solution steps

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

Solve separable ODE:

y = tan (\frac{x ^{2}}{2} + c_{1})

y = tan (\frac{x ^{2}}{2} + c_{1})

Popular Examples

derivative of f(x)=x^{3x}derivative of

f (x) = x^{3 x}

(t+2y+3)+(2t+4y-1)(dy)/(dt)=0

(t + 2 y + 3) + (2 t + 4 y - 1) \frac{d y}{d t} = 0

y^{''}-1/x y^'+1/(x^2)y= 2/x

y^{^{''}} - \frac{1}{x} y^{^{'}} + \frac{1}{x ^{2}} y = \frac{2}{x}

\frac{d}{d t} (5 t^{2})

limit as x approaches 2pi-of csc(x)

x \to 2 π - lim (csc (x))

Frequently Asked Questions (FAQ)

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