What is the solution for (2x+1)(dy)/(dx)=4xy ?

The solution for (2x+1)(dy)/(dx)=4xy is y=(e^{2x+1+c_{1}})/(2x+1)

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(2x+1)(dy)/(dx)=4xy

(2 x + 1) \frac{d y}{d x} = 4 x y

y = \frac{e ^{2 x + 1 + c_{1}}}{2 x + 1}

Solution steps

(2 x + 1) \frac{d y}{d x} = 4 x y

Solve separable ODE:

y = \frac{e ^{2 x + 1 + c_{1}}}{2 x + 1}

y = \frac{e ^{2 x + 1 + c_{1}}}{2 x + 1}

\int \frac{sec ( x ) + cos ( x )}{3 cos ( x )} d x

\frac{x}{x ^{2} + 3}

\int cos^{2} (x s i) n^{3} x d x

e^{- 2 t}, at t = 0

\frac{d}{d x} (\frac{x}{x - 2 x})

What is the solution for (2x+1)(dy)/(dx)=4xy ?
The solution for (2x+1)(dy)/(dx)=4xy is y=(e^{2x+1+c_{1}})/(2x+1)