What is the solution for derivative of (y*2)=2*10-3y ?

The solution for derivative of (y*2)=2*10-3y is y=-(e^{(-3x-c_{1})/2})/(3)+20/3

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derivative of (y2)=210-3y

\frac{d}{d x} ((y) \cdot 2) = 2 \cdot 10 - 3 y

y = - \frac{e ^{\frac{- 3 x - c _{1}}{2}}}{3} + \frac{20}{3}

Solution steps

\frac{d}{d x} ((y) \cdot 2) = 2 \cdot 10 - 3 y

Solve separable ODE:

y = - \frac{e ^{\frac{- 3 x - c _{1}}{2}}}{3} + \frac{20}{3}

y = - \frac{e ^{\frac{- 3 x - c _{1}}{2}}}{3} + \frac{20}{3}

y^{^{'}} + \frac{y}{4} = 4, y (- 3) = 0

(2 x + 3)^{4} = 3 y^{4} \frac{d y}{d x}

\frac{d y}{d x} = - \frac{4}{6} x^{8} y^{6}

(2 x - 1) y^{^{'}} - 2 y = 0 \frac{1 - 4 x}{x ^{2}}

\frac{d x}{d t} = k (1 - x)

What is the solution for derivative of (y*2)=2*10-3y ?
The solution for derivative of (y*2)=2*10-3y is y=-(e^{(-3x-c_{1})/2})/(3)+20/3