What is the solution for sqrt(1-5x^2)y^'=x ?

The solution for sqrt(1-5x^2)y^'=x is y=-1/5 sqrt(1-5x^2)+c_{1}

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sqrt(1-5x^2)y^'=x

1 - 5 x^{2} y^{^{'}} = x

y = - \frac{1}{5} 1 - 5 x^{2} + c_{1}

Solution steps

1 - 5 x^{2} y^{'} (x) = x

Isolate

y^{'} (x) : y^{'} (x) = \frac{x}{1 - 5 x ^{2}}

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

then

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

y = \int \frac{x}{1 - 5 x ^{2}} d x

\int \frac{x}{1 - 5 x ^{2}} d x = - \frac{1}{5} 1 - 5 x^{2} + c_{1}

y = - \frac{1}{5} 1 - 5 x^{2} + c_{1}

\int_{0}^{15} \frac{24}{25} π y^{2} d y

\frac{\partial}{\partial x} (2 sin (4 x))

\frac{d y}{d x} = (x)

x \to 0 lim (+ (x^{s i n (x)}))

y^{^{''}} + 18 y^{^{'}} + 82 y = 0

What is the solution for sqrt(1-5x^2)y^'=x ?
The solution for sqrt(1-5x^2)y^'=x is y=-1/5 sqrt(1-5x^2)+c_{1}