en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)y=cos^{-1}(1/x)

Solution

\frac{d y}{d x} y = cos^{- 1} (\frac{1}{x})

Solution

y = 2 x arccos (\frac{1}{x}) - ln (\frac{x ^{2} - 1}{x} + 1) + ln (\frac{x ^{2} - 1}{x} - 1) + c_{1}, y = - 2 x arccos (\frac{1}{x}) - ln (\frac{x ^{2} - 1}{x} + 1) + ln (\frac{x ^{2} - 1}{x} - 1) + c_{1}

Solution steps

\frac{d y}{d x} y = arccos (\frac{1}{x})

Solve separable ODE:

y = 2 x arccos (\frac{1}{x}) - ln (\frac{x ^{2} - 1}{x} + 1) + ln (\frac{x ^{2} - 1}{x} - 1) + c_{1}, y = - 2 x arccos (\frac{1}{x}) - ln (\frac{x ^{2} - 1}{x} + 1) + ln (\frac{x ^{2} - 1}{x} - 1) + c_{1}

y = 2 x arccos (\frac{1}{x}) - ln (\frac{x ^{2} - 1}{x} + 1) + ln (\frac{x ^{2} - 1}{x} - 1) + c_{1}, y = - 2 x arccos (\frac{1}{x}) - ln (\frac{x ^{2} - 1}{x} + 1) + ln (\frac{x ^{2} - 1}{x} - 1) + c_{1}

Popular Examples

slope of (3.4)(-6.4)slope

(3.4) (- 6.4)

limit as x approaches 0-of ln(x^8)

x \to 0 - lim (ln (x^{8}))

derivative of 8/(x^2+4)derivative of

\frac{8}{x ^{2} + 4}

integral of 9xsec(x)tan(x)

\int 9 x sec (x) tan (x) d x

y^{''}+y=cos^2(x)

y^{^{''}} + y = cos^{2} (x)

Frequently Asked Questions (FAQ)

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