en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=-y/x

Solution

y^{^{'}} = - \frac{y}{x}

Solution

y = \frac{c _{1}}{x}

Solution steps

y^{'} (x) = - \frac{y}{x}

Solve separable ODE:

y = \frac{c _{1}}{x}

y = \frac{c _{1}}{x}

Popular Examples

x^{'''}+x^{''}+3x^'-5x=0

x^{^{'''}} + x^{^{''}} + 3 x^{^{'}} - 5 x = 0

derivative of e^{x^2+1}derivative of

e^{x^{2} + 1}

derivative of f(x)=e^{4/x}derivative of

f (x) = e^{\frac{4}{x}}

derivative of (5x)/(x+4)derivative of

\frac{5 x}{x + 4}

integral of (1/(1+x))

\int (\frac{1}{1 + x}) d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=-y/x ?
The solution for y^'=-y/x is y=(c_{1})/x