What is the solution for 5x(dy)/(dx)=6(7-3y) ?

The solution for 5x(dy)/(dx)=6(7-3y) is y=-(c_{1})/(3x^{18/5)}+7/3

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5x(dy)/(dx)=6(7-3y)

5 x \frac{d y}{d x} = 6 (7 - 3 y)

y = - \frac{c _{1}}{3 x ^{\frac{18}{5}}} + \frac{7}{3}

Solution steps

5 x \frac{d y}{d x} = 6 (7 - 3 y)

Solve separable ODE:

y = - \frac{c _{1}}{3 x ^{\frac{18}{5}}} + \frac{7}{3}

y = - \frac{c _{1}}{3 x ^{\frac{18}{5}}} + \frac{7}{3}

y^{^{'}} + 5 y = 50

\frac{d y}{d x} = 3 x^{6} y, y > 0

y^{^{'}} - 2 y = 2 y^{\frac{1}{2}}, y (0) = 1

\frac{d P}{d t} = 8 Pt, P (1) = 2

(x y^{2} + y^{2}) d x + x d y = 0

What is the solution for 5x(dy)/(dx)=6(7-3y) ?
The solution for 5x(dy)/(dx)=6(7-3y) is y=-(c_{1})/(3x^{18/5)}+7/3