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Popular >

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

Solution

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

Solution

y = tan (\frac{x ^{2}}{2} + c_{1})

Solution steps

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

Solve separable ODE:

y = tan (\frac{x ^{2}}{2} + c_{1})

y = tan (\frac{x ^{2}}{2} + c_{1})

Popular Examples

(dy)/(dx)=sin(x-y+7)

\frac{d y}{d x} = sin (x - y + 7)

integral of (3x+5)/(x^2+2x+1)

\int \frac{3 x + 5}{x ^{2} + 2 x + 1} d x

(\partial)/(\partial x)(4x^3y^3-3)

\frac{\partial}{\partial x} (4 x^{3} y^{3} - 3)

tangent of y=(e^{-x})/(x+1),\at x=1 tangent of

y = \frac{e ^{- x}}{x + 1}, at x = 1

derivative of (sqrt(2x+1)/(x^2-1))

\frac{d}{d x} (\frac{2 x + 1}{x ^{2} - 1})

Frequently Asked Questions (FAQ)

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