What is the solution for y^'+(33y)/(3090)-17/2 =0 ?

The solution for y^'+(33y)/(3090)-17/2 =0 is y=(e^{\frac{-11t-c_{1})/(1030)}}{11}+8755/11

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y^'+(33y)/(3090)-17/2 =0

y^{^{'}} + \frac{33 y}{3090} - \frac{17}{2} = 0

y = \frac{e ^{\frac{- 11 t - c _{1}}{1030}}}{11} + \frac{8755}{11}

Solution steps

y^{'} (t) + \frac{33 y}{3090} - \frac{17}{2} = 0

Solve separable ODE:

y = \frac{e ^{\frac{- 11 t - c _{1}}{1030}}}{11} + \frac{8755}{11}

y = \frac{e ^{\frac{- 11 t - c _{1}}{1030}}}{11} + \frac{8755}{11}

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

\frac{d y}{d x} y = x + 5

(\frac{( 5 y )}{( x ) - 24 x ^{(2)}}) d x + 5 d y = 0

\frac{d}{d x} ((2 y + 3)^{4}) = 5 x^{3} - 3 x

\frac{d y}{d x} - 11 x^{3} y = 0

What is the solution for y^'+(33y)/(3090)-17/2 =0 ?
The solution for y^'+(33y)/(3090)-17/2 =0 is y=(e^{\frac{-11t-c_{1})/(1030)}}{11}+8755/11