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Popular >

xdx=ydy

Solution

x d x = y d y

Solution

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

Solution steps

x d x = y d y

Solve separable ODE:

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

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

Popular Examples

limit as x approaches infinity+of 1/(sqrt(x^2+x))

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

integral of sqrt(1+(3x^{1/2))^2}

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

integral from 1/5 to 7 of 16xln(5x)

\int_{\frac{1}{5}}^{7} 16 x ln (5 x) d x

integral from 2 to 4 of (x^2+4)^3x

\int_{2}^{4} (x^{2} + 4)^{3} x d x

derivative of (ln(3x+1)/(6x+2))

\frac{d}{d x} (\frac{ln ( 3 x + 1 )}{6 x + 2})

Frequently Asked Questions (FAQ)

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