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Popular >

y^'=xsqrt(1-y^2)

Solution

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

Solution

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

Solution steps

y^{'} (x) = x 1 - y^{2}

Solve separable ODE:

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

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

Popular Examples

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

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

\frac{d}{d t} (t^{2} + 1)

derivative of x/(x+2)derivative of

\frac{x}{x + 2}

5 y^{^{'}} + y = 0

integral from 1 to 7 of (sqrt(x^2-1))/x

\int_{1}^{7} \frac{x ^{2} - 1}{x} d x

Frequently Asked Questions (FAQ)

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