What is the solution for xdy-ydx=x*tan(y/x)dx ?

The solution for xdy-ydx=x*tan(y/x)dx is y=arcsin(c_{1}x)x+2pinx,y=pix+arcsin(-c_{1}x)x+2pinx

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

xdy-ydx=x*tan(y/x)dx

x d y - y d x = x \cdot tan (\frac{y}{x}) d x

y = arcsin (c_{1} x) x + 2 πn x, y = π x + arcsin (- c_{1} x) x + 2 πn x

Solution steps

x d y - y d x = x \cdot tan (\frac{y}{x}) d x

Solve using substitution:

y = arcsin (c_{1} x) x + 2 πn x, y = π x + arcsin (- c_{1} x) x + 2 πn x

y = arcsin (c_{1} x) x + 2 πn x, y = π x + arcsin (- c_{1} x) x + 2 πn x

\frac{d}{d x} (x^{6})

5 y^{^{''}} + y^{^{'}} = - 2 x, y (0) = 0, y^{^{'}} (0) = - 15

\frac{d}{d x} (\frac{1}{e ^{2 x}})

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

y = 6 x + x^{2}

What is the solution for xdy-ydx=x*tan(y/x)dx ?
The solution for xdy-ydx=x*tan(y/x)dx is y=arcsin(c_{1}x)x+2pinx,y=pix+arcsin(-c_{1}x)x+2pinx