What is the solution for (dy)/(dx)=4-(5y)/(300-3x) ?

The solution for (dy)/(dx)=4-(5y)/(300-3x) is y=2(-3x+300)+c_{1}(300-3x)^{5/3}

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(dy)/(dx)=4-(5y)/(300-3x)

\frac{d y}{d x} = 4 - \frac{5 y}{300 - 3 x}

y = 2 (- 3 x + 300) + c_{1} (300 - 3 x)^{\frac{5}{3}}

Solution steps

\frac{d y}{d x} = 4 - \frac{5 y}{300 - 3 x}

Solve linear ODE:

y = 2 (- 3 x + 300) + c_{1} (300 - 3 x)^{\frac{5}{3}}

y = 2 (- 3 x + 300) + c_{1} (300 - 3 x)^{\frac{5}{3}}

\int \frac{1}{x ^{2}} d x

x \to 1 lim (5 - 2 x)

x \to - π lim (x + 4)

\frac{d}{d x} (lo g_{3} (\frac{x x - 1}{2}))

\int \frac{10}{x ^{2} x ^{2} + 9} d x

What is the solution for (dy)/(dx)=4-(5y)/(300-3x) ?
The solution for (dy)/(dx)=4-(5y)/(300-3x) is y=2(-3x+300)+c_{1}(300-3x)^{5/3}