What is the solution for (dy)/(dx)=2y,y(3)=2e^{-2} ?

The solution for (dy)/(dx)=2y,y(3)=2e^{-2} is y=2e^{2x-8}

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(dy)/(dx)=2y,y(3)=2e^{-2}

\frac{d y}{d x} = 2 y, y (3) = 2 e^{- 2}

y = 2 e^{2 x - 8}

Solution steps

\frac{d y}{d x} = 2 y

Solve separable ODE:

y = 2 e^{2 x - 8}

y = 2 e^{2 x - 8}

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

\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

What is the solution for (dy)/(dx)=2y,y(3)=2e^{-2} ?
The solution for (dy)/(dx)=2y,y(3)=2e^{-2} is y=2e^{2x-8}