en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/x =(dy)/y

Solution

\frac{d x}{x} = \frac{d y}{y}

Solution

y = c_{1} x

Solution steps

\frac{d x}{x} = \frac{d y}{y}

Solve separable ODE:

y = c_{1} x

y = c_{1} x

Popular Examples

x y^{^{'}} - (x + 1) y = 0

xy^2cos(x)dx-3x^2ycos(x)dy=0,y(1)=1

x y^{2} cos (x) d x - 3 x^{2} y cos (x) d y = 0, y (1) = 1

(dP)/(dt)=2sqrt(Pt),P(1)=2

\frac{d P}{d t} = 2 Pt, P (1) = 2

\frac{d V}{d P} = - \frac{V}{P}

(dy)/(dx)=(3x+xy^2)/(2y-x^2y)

\frac{d y}{d x} = \frac{3 x + x y ^{2}}{2 y - x ^{2} y}

Frequently Asked Questions (FAQ)

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