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

x^{3}, x^{5}

\int_{2}^{5} (1 - x^{2}) - (11 - 7 x) d x

\int \frac{1}{x ^{\frac{3}{4}}} d x

x \to 0 lim (2^{\frac{1}{2}})

\int_{5}^{\infty} e^{- \frac{x}{4}} d x

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