What is the solution for y(dy)/(dx)=x+2 ?

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

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y(dy)/(dx)=x+2

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

y = x^{2} + 4 x + c_{1}, y = - x^{2} + 4 x + c_{1}

Solution steps

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

Solve separable ODE:

y = x^{2} + 4 x + c_{1}, y = - x^{2} + 4 x + c_{1}

y = x^{2} + 4 x + c_{1}, y = - x^{2} + 4 x + c_{1}

\int (\frac{x}{2})^{2} d x

x \to 0 - lim (F (x))

f (x) = 1 + 4 - x, at x = - 2

\int \frac{4 x y - 2 x ^{2}}{2 x ^{3} - x ^{2} y} d y

\int 90 (2 x - 5)^{8} d x

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