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Popular >

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

Solution

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

Solution

y = tan (x + c_{1})

Solution steps

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

Solve separable ODE:

y = tan (x + c_{1})

y = tan (x + c_{1})

Popular Examples

3x(dy)/(dx)-2y=(x^3)/(y^2)

3 x \frac{d y}{d x} - 2 y = \frac{x ^{3}}{y ^{2}}

derivative of e^{-(x^2/2-(y^2)/2})

\frac{d}{d x} (e^{- \frac{x ^{2}}{2} - \frac{y ^{2}}{2}})

derivative of e^x derivative of

e^{x}

(\partial)/(\partial x)((2x-2z)/(y+2z))

\frac{\partial}{\partial x} (\frac{2 x - 2 z}{y + 2 z})

laplacetransform-5sin(3t)laplace transform

- 5 sin (3 t)

Frequently Asked Questions (FAQ)

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