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)

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(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})

\frac{d}{d x} (e^{x} + 3 e^{- x})

\int y^{2} (5 - y^{3})^{\frac{2}{3}} d y

\int \frac{( x + 6 )}{x + 7} d x

\frac{1}{s ( s + 1 ) ^{2}}

f (x) = 3 x^{2} - 5, at 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)