en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/(dt)=t+x^2t

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

integral of sin(z)

\int sin (z) d z

(\partial)/(\partial y)(-e^{-xy})

\frac{\partial}{\partial y} (- e^{- x y})

derivative of 5x^2-2

\frac{d}{d x} (5 x^{2} - 2)

derivative of (3x/((x^2+1)))

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

tangent of f(x)=7x-x^2,\at x=1 tangent of

f (x) = 7 x - x^{2}, at x = 1

Frequently Asked Questions (FAQ)

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