en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

y^'= y/(1+x^2)

Solution

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

Solution

y = e^{a r c t a n (x) + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{a r c t a n (x) + c_{1}}

y = e^{a r c t a n (x) + c_{1}}

Graph

Popular Examples

derivative of f(x)=tan(sqrt(x))

integral of 1/(x*cos^2(ln(x)))

(dh)/(dt)=-0.006sqrt(19.6h)

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

derivative of sin(h(x))

Frequently Asked Questions (FAQ)

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