What is the solution for (dy)/y =(dx)/(1+x) ?

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

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(dy)/y =(dx)/(1+x)

\frac{d y}{y} = \frac{d x}{1 + x}

y = e^{c_{1}} + e^{c_{1}} x

Solution steps

\frac{d y}{y} = \frac{d x}{1 + x}

Solve separable ODE:

y = e^{c_{1}} + e^{c_{1}} x

y = e^{c_{1}} + e^{c_{1}} x

\frac{d y}{d x} y = e^{x^{2} l n (x)}

y^{^{'}} = - x y + 4 x

\frac{d}{d x} (tan (y)) = x

(x y^{2} + 3 y^{2}) d y - 9 y d x = 0

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

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