What is the solution for (dy)/(dx)=200-(3y)/(100-10x) ?

The solution for (dy)/(dx)=200-(3y)/(100-10x) is y=-(200(100-10x))/7+c_{1}(100-10x)^{3/10}

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(dy)/(dx)=200-(3y)/(100-10x)

\frac{d y}{d x} = 200 - \frac{3 y}{100 - 10 x}

y = - \frac{200 ( 100 - 10 x )}{7} + c_{1} (100 - 10 x)^{\frac{3}{10}}

Solution steps

\frac{d y}{d x} = 200 - \frac{3 y}{100 - 10 x}

Solve linear ODE:

y = - \frac{200 ( 100 - 10 x )}{7} + c_{1} (100 - 10 x)^{\frac{3}{10}}

y = - \frac{200 ( 100 - 10 x )}{7} + c_{1} (100 - 10 x)^{\frac{3}{10}}

f (x) = 4 x^{2} + 7 x

\frac{d}{d x} ((x - 2) (x + 3))

\frac{d}{d x} ((4 x)^{l n (4 x)})

2 5^{\frac{1}{3}} x^{\frac{2}{3}}

f (x) = tan (x) + 5

What is the solution for (dy)/(dx)=200-(3y)/(100-10x) ?
The solution for (dy)/(dx)=200-(3y)/(100-10x) is y=-(200(100-10x))/7+c_{1}(100-10x)^{3/10}