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Popular >

y^'= 1/(sqrt(1-x^2))

Solution

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

Solution

y = arcsin (x) + c_{1}

Solution steps

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

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int \frac{1}{1 - x ^{2}} d x

\int \frac{1}{1 - x ^{2}} d x = arcsin (x) + c_{1}

y = arcsin (x) + c_{1}

Popular Examples

integral of ye^{3y^2}

\int y e^{3 y^{2}} d y

derivative of Inx^2

\frac{d}{d x} (I n x^{2})

derivative of ln(x^2-3x+2)

\frac{d}{d x} (ln (x^{2} - 3 x + 2))

derivative of x/(4+x)

\frac{d}{d x} (\frac{x}{4 + x})

3y^{''}+8y^'-16y=0

3 y^{^{''}} + 8 y^{^{'}} - 16 y = 0

Frequently Asked Questions (FAQ)

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