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

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

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(y+1)((dy)/(dx))=2x

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

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

Solution steps

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

Solve separable ODE:

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

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

y^{^{''}} - 7 y^{^{'}} + 12 y = 0, y (0) = - \frac{1}{2}, y^{^{'}} (0) = - \frac{9}{4}

\int \frac{15 e ^{5 y}}{e ^{5 y} + 2} d y

x^{3} + y^{3} = 8 x y, (4, 4)

x \to 3 lim (1 0^{x^{2} - 3 \cdot x})

\frac{\partial}{\partial y} (x e^{9 x y})

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