What is the solution for (dy)/(dx)=10-(2y)/(100-x) ?

The solution for (dy)/(dx)=10-(2y)/(100-x) is y=-10(x-100)+c_{1}(10000-200x+x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)=10-(2y)/(100-x)

\frac{d y}{d x} = 10 - \frac{2 y}{100 - x}

y = - 10 (x - 100) + c_{1} (10000 - 200 x + x^{2})

Solution steps

\frac{d y}{d x} = 10 - \frac{2 y}{100 - x}

Solve linear ODE:

y = - 10 (x - 100) + c_{1} (10000 - 200 x + x^{2})

y = - 10 (x - 100) + c_{1} (10000 - 200 x + x^{2})

What is the solution for (dy)/(dx)=10-(2y)/(100-x) ?
The solution for (dy)/(dx)=10-(2y)/(100-x) is y=-10(x-100)+c_{1}(10000-200x+x^2)