en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2y^'-6xy+10y=0

Solution

x^{2} y^{^{'}} - 6 x y + 10 y = 0

Solution

y = e^{\frac{10}{x} + c_{1}} x^{6}

Solution steps

x^{2} y^{'} (x) - 6 x y + 10 y = 0

Solve separable ODE:

y = e^{\frac{10}{x} + c_{1}} x^{6}

y = e^{\frac{10}{x} + c_{1}} x^{6}

Graph

Popular Examples

y^'=-(x-7)/(49y-343),y(8)=0

y^{^{'}} = - \frac{x - 7}{49 y - 343}, y (8) = 0

(dt)/(dy)=e^{6t+3y},y(0)=16

\frac{d t}{d y} = e^{6 t + 3 y}, y (0) = 16

y^'=(xe^x-e^x)/(2x^2y),y(1)=sqrt(e)

y^{^{'}} = \frac{x e ^{x} - e ^{x}}{2 x ^{2} y}, y (1) = e

y^{^{'}} = - 10 t y^{2}

y^{^{'}} = - 3 (2 y + 4)

Frequently Asked Questions (FAQ)

What is the solution for x^2y^'-6xy+10y=0 ?
The solution for x^2y^'-6xy+10y=0 is y=e^{(10)/x+c_{1}}x^6