en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

y^'=e^{x^2}

Solution

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

Solution

y = \frac{π}{2} erfi (x) + c_{1}

Solution steps

y^{'} (x) = e^{x^{2}}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int e^{x^{2}} d x

\int e^{x^{2}} d x = \frac{π}{2} erfi (x) + c_{1}

y = \frac{π}{2} erfi (x) + c_{1}

Popular Examples

derivative of e^{ln(ln(2x)})

limit as x approaches 2 of 4/((x-2)^2)

derivative of f(x)=322560(2x+5)

(d^3)/(dx^3)(sqrt(x+1))

sum from n=0 to infinity of (n!)/(5^n)

Frequently Asked Questions (FAQ)

What is the solution for y^'=e^{x^2} ?
The solution for y^'=e^{x^2} is y=(sqrt(pi))/2 \erfi(x)+c_{1}