en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

xy^'=y,y(a)=b

Solution

x y^{^{'}} = y, y (a) = b

Solution

y = \frac{b x}{a}

Solution steps

x y^{'} (x) = y

Solve separable ODE:

y = \frac{b x}{a}

y = \frac{b x}{a}

Popular Examples

(dy)/(dx)=2x(1-y)

\frac{d y}{d x} = 2 x (1 - y)

y^'=e^{3x-2y}+x^2e^{-2y}

y^{^{'}} = e^{3 x - 2 y} + x^{2} e^{- 2 y}

(dt)/(dx)+3/x =-1/(x^2)

\frac{d t}{d x} + \frac{3}{x} = - \frac{1}{x ^{2}}

(dy)/(dx)=0.06-y/(1350)

\frac{d y}{d x} = 0.06 - \frac{y}{1350}

y^'-5y=10,y(0)=0

y^{^{'}} - 5 y = 10, y (0) = 0

Frequently Asked Questions (FAQ)

What is the solution for xy^'=y,y(a)=b ?
The solution for xy^'=y,y(a)=b is y=(bx)/a