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Popular >

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

Solution

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

Solution

y = c_{1} x^{2} + 1

Solution steps

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

Solve separable ODE:

y = c_{1} x^{2} + 1

y = c_{1} x^{2} + 1

Popular Examples

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

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

integral from 2 to infinity of-5x^{-2}

\int_{2}^{\infty} - 5 x^{- 2} d x

derivative of 5xe^{4x}

\frac{d}{d x} (5 x e^{4 x})

(\partial)/(\partial x)((63)/((9+x^2+y^2)))

\frac{\partial}{\partial x} (\frac{63}{( 9 + x ^{2} + y ^{2} )})

(\partial)/(\partial z)(1/(x^2yz))

\frac{\partial}{\partial z} (\frac{1}{x ^{2} yz})

Frequently Asked Questions (FAQ)

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