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Popular >

xsqrt(1-y^2)dx=dy

Solution

x 1 - y^{2} d x = d y

Solution

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

Solution steps

x 1 - y^{2} d x = d y

Solve separable ODE:

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

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

Popular Examples

limit as x approaches 0+of ln(-x)

x \to 0 + lim (ln (- x))

sum from n=0 to infinity of n/(n^2+1)x^n

n = 0 \sum \infty \frac{n}{n ^{2} + 1} x^{n}

integral from-2 to 3 of (23)/(x^4)

\int_{- 2}^{3} \frac{23}{x ^{4}} d x

integral of (3x^2+2x-1)/(4e^{3x)}

\int \frac{3 x ^{2} + 2 x - 1}{4 e ^{3 x}} d x

derivative of (1-x^2/5)

\frac{d}{d x} (\frac{1 - x ^{2}}{5})

Frequently Asked Questions (FAQ)

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